Long Division: 1008 ÷ 72

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to perform long division of 1008 by 72?

Answer

1008 ÷ 72 = 14✓ exact division
1008 ÷ 72 = 14

Visual Long Division

 
 
0
0
1
4
7
2
1
0
0
8
 
 
 
−
7
2
 
 
 
 
2
8
8
 
 
 
−
2
8
8
 
 
 
 
 
0

This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 1008 ÷ 72 using long division method step by step:

Step 1:Take the number 100 and divide by 72. We get 1 (write it in the quotient). Multiply 1 × 72 = 72 (write it below the dividend). Subtract 100 - 72 = 28. The remainder 28 is carried to the next step.
Step 2:Take the number 288 and divide by 72. We get 4 (write it in the quotient). Multiply 4 × 72 = 288 (write it below the dividend). Subtract 288 - 288 = 0.
Final Step:The division is complete with no remainder. 1008 divides exactly by 72 to give 14.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110011 × 72 = 72100 - 72 = 2828
228844 × 72 = 288288 - 288 = 00

Perfect division: 1008 divides evenly by 72 with no remainder.

About Long Division

Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.

The process involves:

  • Dividing the leftmost digits of the dividend by the divisor
  • Writing the quotient digit above the dividend
  • Multiplying the quotient digit by the divisor
  • Subtracting this product from the current dividend portion
  • Bringing down the next digit and repeating the process

This method ensures accuracy and helps students understand the relationship between multiplication and division.

Related Calculations

See Also

About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 1008 by 72? (The answer is: The division of 1008 by 72 is exact. Result: 1008 ÷ 72 = 14.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

Long Division Table

DivisionQuotientRemainder
1001 ÷ 721365
1002 ÷ 721366
1003 ÷ 721367
1004 ÷ 721368
1005 ÷ 721369
1006 ÷ 721370
1007 ÷ 721371
1008 ÷ 72140
1009 ÷ 72141
1010 ÷ 72142
1011 ÷ 72143
1012 ÷ 72144
1013 ÷ 72145
1014 ÷ 72146
1015 ÷ 72147

FAQ

How to perform long division of 1008 by 72?

1008 ÷ 72 = 14 ✓ exact division

Is 1008 divisible by 72?

Yes, 1008 is divisible by 72. The result is 14.

How to check the result of 1008 ÷ 72?

Multiply the quotient 14 by the divisor 72. The result should equal 1008.

See Also