The problem is to divide 946 by 39 using long division. The expression to evaluate is $946 \div 39$.

1. Problem Description

The problem is to divide 946 by 39 using long division. The expression to evaluate is $946 \div 39$.

2. Solution Steps

Step 1: Determine how many times 39 goes into

9

4. Since $39 \times 2 = 78$ and $39 \times 3 = 117$, 39 goes into 94 two times.

Place the 2 above the 4 in

9

4

6.

Step 2: Multiply 39 by

2. $39 \times 2 = 78$

Write 78 below 94 and subtract.

$94 - 78 = 16$

Step 3: Bring down the 6 from 946 next to the

1

6. This forms

1

6

6.

Step 4: Determine how many times 39 goes into

1

6

6. Since $39 \times 4 = 156$ and $39 \times 5 = 195$, 39 goes into 166 four times.

Place the 4 above the 6 in 946, next to the

2.

Step 5: Multiply 39 by

4. $39 \times 4 = 156$

Write 156 below 166 and subtract.

$166 - 156 = 10$

Step 6: The remainder is

1

0. The quotient is

2

4.

3. Final Answer

$946 \div 39 = 24$ with a remainder of

1

0. Alternatively, $946 \div 39 = 24 \frac{10}{39}$.