Math  /  Numbers & Operations

Question363430654301106543069430\begin{array}{r}\frac{3}{634} \\ -\frac{30}{654} \\ -\frac{30}{1} 10 \\ 654 \\ -30 \\ -694 \\ -30\end{array}

Studdy Solution

STEP 1

1. We are performing long division where the dividend is 364 364 and the divisor is 30 30 .
2. The goal is to find how many times 30 30 fits into 364 364 and determine the remainder.
3. The process involves repeated subtraction and bringing down digits.

STEP 2

1. Set up the division problem.
2. Perform the division step by step.
3. Calculate the remainder.

STEP 3

Set up the division problem with 364 364 as the dividend and 30 30 as the divisor.

STEP 4

Determine how many times 30 30 fits into the first part of the dividend, 36 36 .
- 30 30 fits into 36 36 once. - Write 1 1 above the division bar.

STEP 5

Multiply 1 1 by 30 30 and subtract from 36 36 .
- 1×30=30 1 \times 30 = 30 - 3630=6 36 - 30 = 6

STEP 6

Bring down the next digit from the dividend, which is 4 4 , making the new number 64 64 .

STEP 7

Determine how many times 30 30 fits into 64 64 .
- 30 30 fits into 64 64 twice. - Write 2 2 above the division bar next to the 1 1 .

STEP 8

Multiply 2 2 by 30 30 and subtract from 64 64 .
- 2×30=60 2 \times 30 = 60 - 6460=4 64 - 60 = 4

STEP 9

Since there are no more digits to bring down, the remainder is 4 4 .
The result of the division is:
12 remainder 4\boxed{12 \text{ remainder } 4}

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