Long Division: 10001 ÷ 11

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Divisor (number to divide by)

How to divide 10001 by 11 using long division and find the remainder?

Answer: 10001 ÷ 11 = 909 remainder 2
10001 ÷ 11 = 909 remainder 2

Visual Long Division

 
 
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2

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

Step-by-Step Explanation

Here's how to solve 10001 ÷ 11 using long division method step by step:

Step 1:Take the number 100 and divide by 11. We get 9 (write it in the quotient). Multiply 9 × 11 = 99 (write it below the dividend). Subtract 100 - 99 = 1. The remainder 1 is carried to the next step.
Step 2:Number 10 is less than divisor 11, so we write 0 in the quotient and move to the next digit.
Step 3:Take the number 101 and divide by 11. We get 9 (write it in the quotient). Multiply 9 × 11 = 99 (write it below the dividend). Subtract 101 - 99 = 2. The remainder 2 is carried to the next step.
Final Step:The remainder 2 is smaller than the divisor 11, so the division is complete. The final answer is 909 with remainder 2.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110099 × 11 = 99100 - 99 = 11
21000 × 11 = 010 - 0 = 1010
310199 × 11 = 99101 - 99 = 22

Final remainder: 2

Since 2 is less than 11, we cannot divide further. The final answer is 909 with remainder 2.

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

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FAQ

How to divide 10001 by 11 using long division and find the remainder?

10001 ÷ 11 = 909 remainder 2

See Also