Long Division: 5499999 ÷ 16

"Long Division Calculator" Calculator

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Divisor (number to divide by)

How to divide 5499999 by 16 using long division and find the remainder?

Answer: 5499999 ÷ 16 = 343749 remainder 15
5499999 ÷ 16 = 343749 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 5499999 ÷ 16 using long division method step by step:

Step 1:Take the number 54 and divide by 16. We get 3 (write it in the quotient). Multiply 3 × 16 = 48 (write it below the dividend). Subtract 54 - 48 = 6. The remainder 6 is carried to the next step.
Step 2:Take the number 69 and divide by 16. We get 4 (write it in the quotient). Multiply 4 × 16 = 64 (write it below the dividend). Subtract 69 - 64 = 5. The remainder 5 is carried to the next step.
Step 3:Take the number 59 and divide by 16. We get 3 (write it in the quotient). Multiply 3 × 16 = 48 (write it below the dividend). Subtract 59 - 48 = 11. The remainder 11 is carried to the next step.
Step 4:Take the number 119 and divide by 16. We get 7 (write it in the quotient). Multiply 7 × 16 = 112 (write it below the dividend). Subtract 119 - 112 = 7. The remainder 7 is carried to the next step.
Step 5:Take the number 79 and divide by 16. We get 4 (write it in the quotient). Multiply 4 × 16 = 64 (write it below the dividend). Subtract 79 - 64 = 15. The remainder 15 is carried to the next step.
Step 6:Take the number 159 and divide by 16. We get 9 (write it in the quotient). Multiply 9 × 16 = 144 (write it below the dividend). Subtract 159 - 144 = 15. The remainder 15 is carried to the next step.
Final Step:The remainder 15 is smaller than the divisor 16, so the division is complete. The final answer is 343749 with remainder 15.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
15433 × 16 = 4854 - 48 = 66
26944 × 16 = 6469 - 64 = 55
35933 × 16 = 4859 - 48 = 1111
411977 × 16 = 112119 - 112 = 77
57944 × 16 = 6479 - 64 = 1515
615999 × 16 = 144159 - 144 = 1515

Final remainder: 15

Since 15 is less than 16, we cannot divide further. The final answer is 343749 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)

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FAQ

How to divide 5499999 by 16 using long division and find the remainder?

5499999 ÷ 16 = 343749 remainder 15

See Also