Long Division: 17000 ÷ 1000

How to perform long division of 17000 by 1000?

Answer: 17000 ÷ 1000 = 17✓ exact division
17000 ÷ 1000 = 17

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 17000 ÷ 1000 using long division method step by step:

Step 1:Take the number 1700 and divide by 1000. We get 1 (write it in the quotient). Multiply 1 × 1000 = 1000 (write it below the dividend). Subtract 1700 - 1000 = 700. The remainder 700 is carried to the next step.
Step 2:Take the number 7000 and divide by 1000. We get 7 (write it in the quotient). Multiply 7 × 1000 = 7000 (write it below the dividend). Subtract 7000 - 7000 = 0.
Final Step:The division is complete with no remainder. 17000 divides exactly by 1000 to give 17.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1170011 × 1000 = 10001700 - 1000 = 700700
2700077 × 1000 = 70007000 - 7000 = 00

Perfect division: 17000 divides evenly by 1000 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 17000 by 1000?

17000 ÷ 1000 = 17 ✓ exact division