Long Division: 1000001 ÷ 350

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 1000001 by 350 using long division and find the remainder?

Answer: 1000001 ÷ 350 = 2857 remainder 51
1000001 ÷ 350 = 2857 remainder 51

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 1000001 ÷ 350 using long division method step by step:

Step 1:Take the number 1000 and divide by 350. We get 2 (write it in the quotient). Multiply 2 × 350 = 700 (write it below the dividend). Subtract 1000 - 700 = 300. The remainder 300 is carried to the next step.
Step 2:Take the number 3000 and divide by 350. We get 8 (write it in the quotient). Multiply 8 × 350 = 2800 (write it below the dividend). Subtract 3000 - 2800 = 200. The remainder 200 is carried to the next step.
Step 3:Take the number 2000 and divide by 350. We get 5 (write it in the quotient). Multiply 5 × 350 = 1750 (write it below the dividend). Subtract 2000 - 1750 = 250. The remainder 250 is carried to the next step.
Step 4:Take the number 2501 and divide by 350. We get 7 (write it in the quotient). Multiply 7 × 350 = 2450 (write it below the dividend). Subtract 2501 - 2450 = 51. The remainder 51 is carried to the next step.
Final Step:The remainder 51 is smaller than the divisor 350, so the division is complete. The final answer is 2857 with remainder 51.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1100022 × 350 = 7001000 - 700 = 300300
2300088 × 350 = 28003000 - 2800 = 200200
3200055 × 350 = 17502000 - 1750 = 250250
4250177 × 350 = 24502501 - 2450 = 5151

Final remainder: 51

Since 51 is less than 350, we cannot divide further. The final answer is 2857 with remainder 51.

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)

Divisor (number to divide by)

FAQ

How to divide 1000001 by 350 using long division and find the remainder?

1000001 ÷ 350 = 2857 remainder 51

See Also