Long Division: 12600 ÷ 900

How to perform long division of 12600 by 900?

Answer: 12600 ÷ 900 = 14✓ exact division
12600 ÷ 900 = 14

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 12600 ÷ 900 using long division method step by step:

Step 1:Take the number 1260 and divide by 900. We get 1 (write it in the quotient). Multiply 1 × 900 = 900 (write it below the dividend). Subtract 1260 - 900 = 360. The remainder 360 is carried to the next step.
Step 2:Take the number 3600 and divide by 900. We get 4 (write it in the quotient). Multiply 4 × 900 = 3600 (write it below the dividend). Subtract 3600 - 3600 = 0.
Final Step:The division is complete with no remainder. 12600 divides exactly by 900 to give 14.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1126011 × 900 = 9001260 - 900 = 360360
2360044 × 900 = 36003600 - 3600 = 00

Perfect division: 12600 divides evenly by 900 with no remainder.

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.

FAQ

How to perform long division of 12600 by 900?

12600 ÷ 900 = 14 ✓ exact division