Long Division: 1000 ÷ 72

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 1000 by 72 using long division and find the remainder?

Answer

1000 ÷ 72 = 13 remainder 64
1000 ÷ 72 = 13 remainder 64

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 1000 ÷ 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 280 and divide by 72. We get 3 (write it in the quotient). Multiply 3 × 72 = 216 (write it below the dividend). Subtract 280 - 216 = 64. The remainder 64 is carried to the next step.
Final Step:The remainder 64 is smaller than the divisor 72, so the division is complete. The final answer is 13 with remainder 64.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110011 × 72 = 72100 - 72 = 2828
228033 × 72 = 216280 - 216 = 6464

Final remainder: 64

Since 64 is less than 72, we cannot divide further. The final answer is 13 with remainder 64.

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

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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 divide 1000 by 72 using long division and find the remainder? (The answer is: When dividing 1000 by 72, we get quotient 13 and remainder 64. Result: 1000 ÷ 72 = 13 remainder 64.). 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
993 ÷ 721357
994 ÷ 721358
995 ÷ 721359
996 ÷ 721360
997 ÷ 721361
998 ÷ 721362
999 ÷ 721363
1000 ÷ 721364
1001 ÷ 721365
1002 ÷ 721366
1003 ÷ 721367
1004 ÷ 721368
1005 ÷ 721369
1006 ÷ 721370
1007 ÷ 721371

FAQ

How to divide 1000 by 72 using long division and find the remainder?

1000 ÷ 72 = 13 remainder 64

Is 1000 divisible by 72?

No, 1000 is not divisible by 72. The remainder is 64.

How to check the result of 1000 ÷ 72?

Multiply the quotient 13 by the divisor 72 and add the remainder 64. The result should equal 1000.

See Also