Perform The Division:$\[ 31 \, \longdiv { \, 79,650 } \\]
===========================================================
Introduction
Division is a fundamental operation in mathematics that involves sharing a certain number of items into equal groups or shares. It is an essential concept in various mathematical operations, including fractions, decimals, and percentages. In this article, we will focus on performing the division of 31 by 79,650, exploring the step-by-step process and providing a detailed explanation of the calculation.
Understanding the Problem
To begin with, let's understand the problem at hand. We are required to perform the division of 31 by 79,650. This means we need to find out how many times 31 can be divided into 79,650 and what the remainder will be.
Step 1: Setting Up the Division
To perform the division, we need to set up the problem in the correct format. We will use the long division method, which involves dividing the dividend (79,650) by the divisor (31).
Dividend: 79,650
Divisor: 31
Step 2: Performing the Division
Now that we have set up the problem, let's begin the division process.
Step 2.1: Divide the First Digit
We will start by dividing the first digit of the dividend (7) by the divisor (31). However, since 7 is less than 31, we will add a zero to the dividend and try again.
79,650 ÷ 31 = ?
To perform the division, we will use the following steps:
- Divide 79 by 31, which gives us 2 with a remainder of 25.
- Multiply the remainder (25) by the divisor (31), which gives us 775.
- Subtract 775 from the dividend (79,650), which gives us 78,875.
- Bring down the next digit (0) and repeat the process.
78,875 ÷ 31 = ?
- Divide 78 by 31, which gives us 2 with a remainder of 26.
- Multiply the remainder (26) by the divisor (31), which gives us 806.
- Subtract 806 from the dividend (78,875), which gives us 78,069.
- Bring down the next digit (0) and repeat the process.
78,069 ÷ 31 = ?
- Divide 78 by 31, which gives us 2 with a remainder of 26.
- Multiply the remainder (26) by the divisor (31), which gives us 806.
- Subtract 806 from the dividend (78,069), which gives us 77,263.
- Bring down the next digit (0) and repeat the process.
77,263 ÷ 31 = ?
- Divide 77 by 31, which gives us 2 with a remainder of 15.
- Multiply the remainder (15) by the divisor (31), which gives us 465.
- Subtract 465 from the dividend (77,263), which gives us 76,798.
- Bring down the next digit (0) and repeat the process.
76,798 ÷ 31 = ?
- Divide 76 by 31, which gives us 2 with a remainder of 14.
- Multiply the remainder (14) by the divisor (31), which gives us 434.
- Subtract 434 from the dividend (76,798), which gives us 76,364.
- Bring down the next digit (0) and repeat the process.
76,364 ÷ 31 = ?
- Divide 76 by 31, which gives us 2 with a remainder of 14.
- Multiply the remainder (14) by the divisor (31), which gives us 434.
- Subtract 434 from the dividend (76,364), which gives us 75,930.
- Bring down the next digit (0) and repeat the process.
75,930 ÷ 31 = ?
- Divide 75 by 31, which gives us 2 with a remainder of 13.
- Multiply the remainder (13) by the divisor (31), which gives us 403.
- Subtract 403 from the dividend (75,930), which gives us 75,527.
- Bring down the next digit (0) and repeat the process.
75,527 ÷ 31 = ?
- Divide 75 by 31, which gives us 2 with a remainder of 13.
- Multiply the remainder (13) by the divisor (31), which gives us 403.
- Subtract 403 from the dividend (75,527), which gives us 75,124.
- Bring down the next digit (0) and repeat the process.
75,124 ÷ 31 = ?
- Divide 75 by 31, which gives us 2 with a remainder of 13.
- Multiply the remainder (13) by the divisor (31), which gives us 403.
- Subtract 403 from the dividend (75,124), which gives us 74,721.
- Bring down the next digit (0) and repeat the process.
74,721 ÷ 31 = ?
- Divide 74 by 31, which gives us 2 with a remainder of 12.
- Multiply the remainder (12) by the divisor (31), which gives us 372.
- Subtract 372 from the dividend (74,721), which gives us 74,349.
- Bring down the next digit (0) and repeat the process.
74,349 ÷ 31 = ?
- Divide 74 by 31, which gives us 2 with a remainder of 12.
- Multiply the remainder (12) by the divisor (31), which gives us 372.
- Subtract 372 from the dividend (74,349), which gives us 73,977.
- Bring down the next digit (0) and repeat the process.
73,977 ÷ 31 = ?
- Divide 73 by 31, which gives us 2 with a remainder of 11.
- Multiply the remainder (11) by the divisor (31), which gives us 341.
- Subtract 341 from the dividend (73,977), which gives us 73,636.
- Bring down the next digit (0) and repeat the process.
73,636 ÷ 31 = ?
- Divide 73 by 31, which gives us 2 with a remainder of 11.
- Multiply the remainder (11) by the divisor (31), which gives us 341.
- Subtract 341 from the dividend (73,636), which gives us 73,295.
- Bring down the next digit (0) and repeat the process.
73,295 ÷ 31 = ?
- Divide 73 by 31, which gives us 2 with a remainder of 11.
- Multiply the remainder (11) by the divisor (31), which gives us 341.
- Subtract 341 from the dividend (73,295), which gives us 72,954.
- Bring down the next digit (0) and repeat the process.
72,954 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,954), which gives us 72,644.
- Bring down the next digit (0) and repeat the process.
72,644 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,644), which gives us 72,334.
- Bring down the next digit (0) and repeat the process.
72,334 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,334), which gives us 72,024.
- Bring down the next digit (0) and repeat the process.
72,024 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,024), which gives us 71,714.
- Bring down the next digit (0) and repeat the process.
71,714 ÷ 31 = ?
- Divide 71 by 31, which gives us 2 with a remainder of 9.
- Multiply the remainder (9) by the divisor (31), which gives us 279.
- Subtract 279 from the dividend (71,714), which gives us 71,435.
- Bring down the next digit (0) and repeat the process.
71,435 ÷ 31 = ?
- Divide 71 by
===========================================================
Introduction
Division is a fundamental operation in mathematics that involves sharing a certain number of items into equal groups or shares. It is an essential concept in various mathematical operations, including fractions, decimals, and percentages. In this article, we will focus on performing the division of 31 by 79,650, exploring the step-by-step process and providing a detailed explanation of the calculation.
Understanding the Problem
To begin with, let's understand the problem at hand. We are required to perform the division of 31 by 79,650. This means we need to find out how many times 31 can be divided into 79,650 and what the remainder will be.
Step 1: Setting Up the Division
To perform the division, we need to set up the problem in the correct format. We will use the long division method, which involves dividing the dividend (79,650) by the divisor (31).
Dividend: 79,650
Divisor: 31
Step 2: Performing the Division
Now that we have set up the problem, let's begin the division process.
Step 2.1: Divide the First Digit
We will start by dividing the first digit of the dividend (7) by the divisor (31). However, since 7 is less than 31, we will add a zero to the dividend and try again.
79,650 ÷ 31 = ?
To perform the division, we will use the following steps:
- Divide 79 by 31, which gives us 2 with a remainder of 25.
- Multiply the remainder (25) by the divisor (31), which gives us 775.
- Subtract 775 from the dividend (79,650), which gives us 78,875.
- Bring down the next digit (0) and repeat the process.
78,875 ÷ 31 = ?
- Divide 78 by 31, which gives us 2 with a remainder of 26.
- Multiply the remainder (26) by the divisor (31), which gives us 806.
- Subtract 806 from the dividend (78,875), which gives us 78,069.
- Bring down the next digit (0) and repeat the process.
78,069 ÷ 31 = ?
- Divide 78 by 31, which gives us 2 with a remainder of 26.
- Multiply the remainder (26) by the divisor (31), which gives us 806.
- Subtract 806 from the dividend (78,069), which gives us 77,263.
- Bring down the next digit (0) and repeat the process.
77,263 ÷ 31 = ?
- Divide 77 by 31, which gives us 2 with a remainder of 15.
- Multiply the remainder (15) by the divisor (31), which gives us 465.
- Subtract 465 from the dividend (77,263), which gives us 76,798.
- Bring down the next digit (0) and repeat the process.
76,798 ÷ 31 = ?
- Divide 76 by 31, which gives us 2 with a remainder of 14.
- Multiply the remainder (14) by the divisor (31), which gives us 434.
- Subtract 434 from the dividend (76,798), which gives us 76,364.
- Bring down the next digit (0) and repeat the process.
76,364 ÷ 31 = ?
- Divide 76 by 31, which gives us 2 with a remainder of 14.
- Multiply the remainder (14) by the divisor (31), which gives us 434.
- Subtract 434 from the dividend (76,364), which gives us 75,930.
- Bring down the next digit (0) and repeat the process.
75,930 ÷ 31 = ?
- Divide 75 by 31, which gives us 2 with a remainder of 13.
- Multiply the remainder (13) by the divisor (31), which gives us 403.
- Subtract 403 from the dividend (75,930), which gives us 75,527.
- Bring down the next digit (0) and repeat the process.
75,527 ÷ 31 = ?
- Divide 75 by 31, which gives us 2 with a remainder of 13.
- Multiply the remainder (13) by the divisor (31), which gives us 403.
- Subtract 403 from the dividend (75,527), which gives us 75,124.
- Bring down the next digit (0) and repeat the process.
75,124 ÷ 31 = ?
- Divide 75 by 31, which gives us 2 with a remainder of 13.
- Multiply the remainder (13) by the divisor (31), which gives us 403.
- Subtract 403 from the dividend (75,124), which gives us 74,721.
- Bring down the next digit (0) and repeat the process.
74,721 ÷ 31 = ?
- Divide 74 by 31, which gives us 2 with a remainder of 12.
- Multiply the remainder (12) by the divisor (31), which gives us 372.
- Subtract 372 from the dividend (74,721), which gives us 74,349.
- Bring down the next digit (0) and repeat the process.
74,349 ÷ 31 = ?
- Divide 74 by 31, which gives us 2 with a remainder of 12.
- Multiply the remainder (12) by the divisor (31), which gives us 372.
- Subtract 372 from the dividend (74,349), which gives us 73,977.
- Bring down the next digit (0) and repeat the process.
73,977 ÷ 31 = ?
- Divide 73 by 31, which gives us 2 with a remainder of 11.
- Multiply the remainder (11) by the divisor (31), which gives us 341.
- Subtract 341 from the dividend (73,977), which gives us 73,636.
- Bring down the next digit (0) and repeat the process.
73,636 ÷ 31 = ?
- Divide 73 by 31, which gives us 2 with a remainder of 11.
- Multiply the remainder (11) by the divisor (31), which gives us 341.
- Subtract 341 from the dividend (73,636), which gives us 73,295.
- Bring down the next digit (0) and repeat the process.
73,295 ÷ 31 = ?
- Divide 73 by 31, which gives us 2 with a remainder of 11.
- Multiply the remainder (11) by the divisor (31), which gives us 341.
- Subtract 341 from the dividend (73,295), which gives us 72,954.
- Bring down the next digit (0) and repeat the process.
72,954 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,954), which gives us 72,644.
- Bring down the next digit (0) and repeat the process.
72,644 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,644), which gives us 72,334.
- Bring down the next digit (0) and repeat the process.
72,334 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,334), which gives us 72,024.
- Bring down the next digit (0) and repeat the process.
72,024 ÷ 31 = ?
- Divide 72 by 31, which gives us 2 with a remainder of 10.
- Multiply the remainder (10) by the divisor (31), which gives us 310.
- Subtract 310 from the dividend (72,024), which gives us 71,714.
- Bring down the next digit (0) and repeat the process.
71,714 ÷ 31 = ?
- Divide 71 by 31, which gives us 2 with a remainder of 9.
- Multiply the remainder (9) by the divisor (31), which gives us 279.
- Subtract 279 from the dividend (71,714), which gives us 71,435.
- Bring down the next digit (0) and repeat the process.
71,435 ÷ 31 = ?
- Divide 71 by