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The Basics of Division
Division is a fundamental arithmetic operation that involves splitting a quantity into equal parts. The result of division is called the quotient, which represents how many times one number can be divided by another.
The Problem
If you’re here, you’re probably wondering what 7000 divided by 24 is. There are a few ways to approach this problem, but we’ll cover the most common method below.
The Long Division Method
The long division method involves breaking down the dividend (in this case, 7000) into smaller parts that can be divided by the divisor (in this case, 24).
Step 1: Place the Dividend and Divisor
Write the dividend (7000) under the division symbol (÷) and the divisor (24) outside the symbol.
7000 ÷ 24
Step 2: Divide the First Digit
Divide the first digit of the dividend (7) by the divisor (24). The result is 0, so write 0 above the first digit of the dividend.
0
7000 ÷ 24
Step 3: Multiply and Subtract
Multiply the divisor (24) by the first digit of the quotient (0). The result is 0, so write 0 below the first digit of the dividend.
0
7000 ÷ 24
0
Subtract the product (0) from the first three digits of the dividend (700). The result is 700. Write this below the 0.
0
7000 ÷ 24
0
700
Step 4: Bring Down the Next Digit
Bring down the next digit of the dividend (0) next to the remainder (700).
0
7000 ÷ 24
0
700
0
Step 5: Divide the Next Digit
Divide the first two digits of the dividend (70) by the divisor (24). The result is 2, so write 2 above the second digit of the dividend.
0
7000 ÷ 24
0
700
20
Step 6: Multiply and Subtract
Multiply the divisor (24) by the second digit of the quotient (2). The result is 48, so write 48 below the first two digits of the dividend.
0
7000 ÷ 24
0
700
20
48
Subtract the product (48) from the first three digits of the dividend (720). The result is 24. Write this below the 48.
0
7000 ÷ 24
0
700
20
48
24
Step 7: Bring Down the Next Digit
Bring down the next digit of the dividend (0) next to the remainder (24).
0
7000 ÷ 24
0
700
20
48
24
0
Step 8: Divide the Next Digit
Divide the first two digits of the dividend (240) by the divisor (24). The result is 10, so write 10 above the third digit of the dividend.
0
7000 ÷ 24
0
700
20
48
24
0
10
Step 9: Multiply and Subtract
Multiply the divisor (24) by the third digit of the quotient (10). The result is 240, so write 240 below the first three digits of the dividend.
0
7000 ÷ 24
0
700
20
48
24
0
10
240
Subtract the product (240) from the first four digits of the dividend (2400). The result is 120. Write this below the 240.
0
7000 ÷ 24
0
700
20
48
24
0
10
240
120
Step 10: Bring Down the Next Digit
Bring down the next digit of the dividend (0) next to the remainder (120).
0
7000 ÷ 24
0
700
20
48
24
0
10
240
120
0
Step 11: Divide the Next Digit
Divide the first two digits of the dividend (120) by the divisor (24). The result is 5, so write 5 above the fourth digit of the dividend.
0
7000 ÷ 24
0
700
20
48
24
0
10
240
120
0
5
Step 12: Multiply and Subtract
Multiply the divisor (24) by the fourth digit of the quotient (5). The result is 120, so write 120 below the first four digits of the dividend.
0
7000 ÷ 24
0
700
20
48
24
0
10
240
120
0
5
120
Subtract the product (120) from the first five digits of the dividend (1200). The result is 80. Write this below the 120.
0
7000 ÷ 24
0
700
20
48
24
0
10
240
120
0
5
120
80
Step 13: Bring Down the Next Digit
Bring down the next digit of the dividend (0) next to the remainder (80).
0
7000 ÷ 24
0
700
20
48
24
0
10
240
120
0
5
120
80
0
Step 14: Divide the Next Digit
Divide the first two digits of the dividend
