Long Division: 999961 ÷ 60

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 999961 by 60 using long division and find the remainder?

Answer: 999961 ÷ 60 = 16666 remainder 1
999961 ÷ 60 = 16666 remainder 1

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 999961 ÷ 60 using long division method step by step:

Step 1:Take the number 99 and divide by 60. We get 1 (write it in the quotient). Multiply 1 × 60 = 60 (write it below the dividend). Subtract 99 - 60 = 39. The remainder 39 is carried to the next step.
Step 2:Take the number 399 and divide by 60. We get 6 (write it in the quotient). Multiply 6 × 60 = 360 (write it below the dividend). Subtract 399 - 360 = 39. The remainder 39 is carried to the next step.
Step 3:Take the number 399 and divide by 60. We get 6 (write it in the quotient). Multiply 6 × 60 = 360 (write it below the dividend). Subtract 399 - 360 = 39. The remainder 39 is carried to the next step.
Step 4:Take the number 396 and divide by 60. We get 6 (write it in the quotient). Multiply 6 × 60 = 360 (write it below the dividend). Subtract 396 - 360 = 36. The remainder 36 is carried to the next step.
Step 5:Take the number 361 and divide by 60. We get 6 (write it in the quotient). Multiply 6 × 60 = 360 (write it below the dividend). Subtract 361 - 360 = 1. The remainder 1 is carried to the next step.
Final Step:The remainder 1 is smaller than the divisor 60, so the division is complete. The final answer is 16666 with remainder 1.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
19911 × 60 = 6099 - 60 = 3939
239966 × 60 = 360399 - 360 = 3939
339966 × 60 = 360399 - 360 = 3939
439666 × 60 = 360396 - 360 = 3636
536166 × 60 = 360361 - 360 = 11

Final remainder: 1

Since 1 is less than 60, we cannot divide further. The final answer is 16666 with remainder 1.

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

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FAQ

How to divide 999961 by 60 using long division and find the remainder?

999961 ÷ 60 = 16666 remainder 1

See Also