Long Division: 10005 ÷ 45

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 10005 by 45 using long division and find the remainder?

Answer: 10005 ÷ 45 = 222 remainder 15
10005 ÷ 45 = 222 remainder 15

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 10005 ÷ 45 using long division method step by step:

Step 1:Take the number 100 and divide by 45. We get 2 (write it in the quotient). Multiply 2 × 45 = 90 (write it below the dividend). Subtract 100 - 90 = 10. The remainder 10 is carried to the next step.
Step 2:Take the number 100 and divide by 45. We get 2 (write it in the quotient). Multiply 2 × 45 = 90 (write it below the dividend). Subtract 100 - 90 = 10. The remainder 10 is carried to the next step.
Step 3:Take the number 105 and divide by 45. We get 2 (write it in the quotient). Multiply 2 × 45 = 90 (write it below the dividend). Subtract 105 - 90 = 15. The remainder 15 is carried to the next step.
Final Step:The remainder 15 is smaller than the divisor 45, so the division is complete. The final answer is 222 with remainder 15.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110022 × 45 = 90100 - 90 = 1010
210022 × 45 = 90100 - 90 = 1010
310522 × 45 = 90105 - 90 = 1515

Final remainder: 15

Since 15 is less than 45, we cannot divide further. The final answer is 222 with remainder 15.

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 10005 by 45 using long division and find the remainder?

10005 ÷ 45 = 222 remainder 15

See Also