Long Division: 99935 ÷ 72

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 99935 by 72 using long division and find the remainder?

Answer: 99935 ÷ 72 = 1387 remainder 71
99935 ÷ 72 = 1387 remainder 71

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 99935 ÷ 72 using long division method step by step:

Step 1:Take the number 99 and divide by 72. We get 1 (write it in the quotient). Multiply 1 × 72 = 72 (write it below the dividend). Subtract 99 - 72 = 27. The remainder 27 is carried to the next step.
Step 2:Take the number 279 and divide by 72. We get 3 (write it in the quotient). Multiply 3 × 72 = 216 (write it below the dividend). Subtract 279 - 216 = 63. The remainder 63 is carried to the next step.
Step 3:Take the number 633 and divide by 72. We get 8 (write it in the quotient). Multiply 8 × 72 = 576 (write it below the dividend). Subtract 633 - 576 = 57. The remainder 57 is carried to the next step.
Step 4:Take the number 575 and divide by 72. We get 7 (write it in the quotient). Multiply 7 × 72 = 504 (write it below the dividend). Subtract 575 - 504 = 71. The remainder 71 is carried to the next step.
Final Step:The remainder 71 is smaller than the divisor 72, so the division is complete. The final answer is 1387 with remainder 71.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
19911 × 72 = 7299 - 72 = 2727
227933 × 72 = 216279 - 216 = 6363
363388 × 72 = 576633 - 576 = 5757
457577 × 72 = 504575 - 504 = 7171

Final remainder: 71

Since 71 is less than 72, we cannot divide further. The final answer is 1387 with remainder 71.

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.

See Also

About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

FAQ

How to divide 99935 by 72 using long division and find the remainder?

99935 ÷ 72 = 1387 remainder 71

See Also