Long Division: 1000001 ÷ 72

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 1000001 by 72 using long division and find the remainder?

Answer: 1000001 ÷ 72 = 13888 remainder 65
1000001 ÷ 72 = 13888 remainder 65

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 1000001 ÷ 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.
Step 3:Take the number 640 and divide by 72. We get 8 (write it in the quotient). Multiply 8 × 72 = 576 (write it below the dividend). Subtract 640 - 576 = 64. The remainder 64 is carried to the next step.
Step 4:Take the number 640 and divide by 72. We get 8 (write it in the quotient). Multiply 8 × 72 = 576 (write it below the dividend). Subtract 640 - 576 = 64. The remainder 64 is carried to the next step.
Step 5:Take the number 641 and divide by 72. We get 8 (write it in the quotient). Multiply 8 × 72 = 576 (write it below the dividend). Subtract 641 - 576 = 65. The remainder 65 is carried to the next step.
Final Step:The remainder 65 is smaller than the divisor 72, so the division is complete. The final answer is 13888 with remainder 65.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110011 × 72 = 72100 - 72 = 2828
228033 × 72 = 216280 - 216 = 6464
364088 × 72 = 576640 - 576 = 6464
464088 × 72 = 576640 - 576 = 6464
564188 × 72 = 576641 - 576 = 6565

Final remainder: 65

Since 65 is less than 72, we cannot divide further. The final answer is 13888 with remainder 65.

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 1000001 by 72 using long division and find the remainder?

1000001 ÷ 72 = 13888 remainder 65

See Also