Long Division: 5499999 ÷ 35

How to divide 5499999 by 35 using long division and find the remainder?

Answer: 5499999 ÷ 35 = 157142 remainder 29
5499999 ÷ 35 = 157142 remainder 29

Visual Long Division

 
 
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1
5
7
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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 ÷ 35 using long division method step by step:

Step 1:Take the number 54 and divide by 35. We get 1 (write it in the quotient). Multiply 1 × 35 = 35 (write it below the dividend). Subtract 54 - 35 = 19. The remainder 19 is carried to the next step.
Step 2:Take the number 199 and divide by 35. We get 5 (write it in the quotient). Multiply 5 × 35 = 175 (write it below the dividend). Subtract 199 - 175 = 24. The remainder 24 is carried to the next step.
Step 3:Take the number 249 and divide by 35. We get 7 (write it in the quotient). Multiply 7 × 35 = 245 (write it below the dividend). Subtract 249 - 245 = 4. The remainder 4 is carried to the next step.
Step 4:Take the number 49 and divide by 35. We get 1 (write it in the quotient). Multiply 1 × 35 = 35 (write it below the dividend). Subtract 49 - 35 = 14. The remainder 14 is carried to the next step.
Step 5:Take the number 149 and divide by 35. We get 4 (write it in the quotient). Multiply 4 × 35 = 140 (write it below the dividend). Subtract 149 - 140 = 9. The remainder 9 is carried to the next step.
Step 6:Take the number 99 and divide by 35. We get 2 (write it in the quotient). Multiply 2 × 35 = 70 (write it below the dividend). Subtract 99 - 70 = 29. The remainder 29 is carried to the next step.
Final Step:The remainder 29 is smaller than the divisor 35, so the division is complete. The final answer is 157142 with remainder 29.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
15411 × 35 = 3554 - 35 = 1919
219955 × 35 = 175199 - 175 = 2424
324977 × 35 = 245249 - 245 = 44
44911 × 35 = 3549 - 35 = 1414
514944 × 35 = 140149 - 140 = 99
69922 × 35 = 7099 - 70 = 2929

Final remainder: 29

Since 29 is less than 35, we cannot divide further. The final answer is 157142 with remainder 29.

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 divide 5499999 by 35 using long division and find the remainder?

5499999 ÷ 35 = 157142 remainder 29