Divide 974 by 5

5974

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's start by dividing the leftmost digit in the dividend
00:08 Write the result without the remainder above
00:12 Now multiply the result by the divisor
00:16 Subtract the product from the number
00:22 Now bring down the next digit and use the same steps
00:25 Divide
00:29 Write the result without the remainder above, pay attention to positioning
00:32 Multiply the result and subtract
00:39 Now bring down the next digit and use the same steps
00:43 Divide
00:47 Write the result without the remainder above, pay attention to positioning
00:50 Multiply the result and subtract
00:58 We got a remainder of 4
01:02 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

5974

2

Step-by-step solution

To solve this problem using long division, follow these steps:

  • Step 1: Start with the first digit of the dividend.
  • The dividend is 974, and the divisor is 5.
    Take the first digit of the dividend, which is 9. Divide 9 by 5 to get 1 because 5 goes into 9 once.

  • Step 2: Subtract and bring down the next digit.
  • Multiply the divisor (5) by the quotient digit (1): 5×1=55 \times 1 = 5.
    Subtract this from 9 to get a remainder of 4: 95=49 - 5 = 4.
    Bring down the next digit from the dividend (7), making the new number 47.

  • Step 3: Repeat the division process.
  • Now divide 47 by 5. 5 goes into 47 nine times, so the next digit of the quotient is 9.
    Multiply the divisor (5) by this quotient digit (9): 5×9=455 \times 9 = 45.
    Subtract this from 47 to get a remainder of 2: 4745=247 - 45 = 2.
    Bring down the final digit (4), making the new number 24.

  • Step 4: Divide the last number.
  • Finally, divide 24 by 5. 5 goes into 24 four times. The last digit of the quotient is 4.
    Multiply the divisor (5) by 4: 5×4=205 \times 4 = 20.
    Subtract this from 24 to get a final remainder of 4: 2420=424 - 20 = 4.

Thus, the result of 974 divided by 5 is a quotient of 194194 with a remainder of 44.

The correct choice is therefore Choice 4: 194194 with a remainder of 44.

3

Final Answer

194 194 with a remainder of 4

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