Long Division: 1080 ÷ 72

Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

How to perform long division of 1,080 by 72?

Answer

1,080 ÷ 72 = 15

✓ exact division

1,080 ÷ 72 = 15

Visual Long Division

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

Step-by-Step Explanation

Here's how to solve 1,080 ÷ 72 using long division method step by step:

Step 1:Take the number 108 and divide by 72. We get 1 (write it in the quotient). Multiply 1 × 72 = 72 (write it below the dividend). Subtract 108 - 72 = 36. The remainder 36 is carried to the next step.
Step 2:Take the number 360 and divide by 72. We get 5 (write it in the quotient). Multiply 5 × 72 = 360 (write it below the dividend). Subtract 360 - 360 = 0.
Final Step:The division is complete with no remainder. 1,080 divides exactly by 72 to give 15.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110811 × 72 = 72108 - 72 = 3636
236055 × 72 = 360360 - 360 = 00

Perfect division: 1,080 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

Long Division 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 1,080 by 72? (The answer is: The division of 1,080 by 72 is exact. Result: 1,080 ÷ 72 = 15.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

Long Division Table

DivisionQuotientRemainder
792 ÷ 72110
864 ÷ 72120
936 ÷ 72130
937 ÷ 72131
999 ÷ 721363
1,000 ÷ 721364
1,008 ÷ 72140
1,080 ÷ 72150
7,200 ÷ 721000
9,999 ÷ 7213863
10,000 ÷ 7213864
54,999 ÷ 7276363
72,000 ÷ 721,0000
99,999 ÷ 721,38863
999,999 ÷ 7213,88863

FAQ

How to perform long division of 1,080 by 72?

1,080 ÷ 72 = 15

Is 1,080 divisible by 72?

Yes, 1,080 is divisible by 72. The result is 15.

How to check the result of 1,080 ÷ 72?

Multiply the quotient 15 by the divisor 72. The result should equal 1,080.

See Also