Long Division: 100001 ÷ 900

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 100001 by 900 using long division and find the remainder?

Answer: 100001 ÷ 900 = 111 remainder 101
100001 ÷ 900 = 111 remainder 101

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 100001 ÷ 900 using long division method step by step:

Step 1:Take the number 1000 and divide by 900. We get 1 (write it in the quotient). Multiply 1 × 900 = 900 (write it below the dividend). Subtract 1000 - 900 = 100. The remainder 100 is carried to the next step.
Step 2:Take the number 1000 and divide by 900. We get 1 (write it in the quotient). Multiply 1 × 900 = 900 (write it below the dividend). Subtract 1000 - 900 = 100. The remainder 100 is carried to the next step.
Step 3:Take the number 1001 and divide by 900. We get 1 (write it in the quotient). Multiply 1 × 900 = 900 (write it below the dividend). Subtract 1001 - 900 = 101. The remainder 101 is carried to the next step.
Final Step:The remainder 101 is smaller than the divisor 900, so the division is complete. The final answer is 111 with remainder 101.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1100011 × 900 = 9001000 - 900 = 100100
2100011 × 900 = 9001000 - 900 = 100100
3100111 × 900 = 9001001 - 900 = 101101

Final remainder: 101

Since 101 is less than 900, we cannot divide further. The final answer is 111 with remainder 101.

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 100001 by 900 using long division and find the remainder?

100001 ÷ 900 = 111 remainder 101

See Also