Long Division: 2000 ÷ 125

How to perform long division of 2000 by 125?

Answer: 2000 ÷ 125 = 16✓ exact division
2000 ÷ 125 = 16

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 2000 ÷ 125 using long division method step by step:

Step 1:Take the number 200 and divide by 125. We get 1 (write it in the quotient). Multiply 1 × 125 = 125 (write it below the dividend). Subtract 200 - 125 = 75. The remainder 75 is carried to the next step.
Step 2:Take the number 750 and divide by 125. We get 6 (write it in the quotient). Multiply 6 × 125 = 750 (write it below the dividend). Subtract 750 - 750 = 0.
Final Step:The division is complete with no remainder. 2000 divides exactly by 125 to give 16.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
120011 × 125 = 125200 - 125 = 7575
275066 × 125 = 750750 - 750 = 00

Perfect division: 2000 divides evenly by 125 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 2000 by 125?

2000 ÷ 125 = 16 ✓ exact division