We look at the division of 38959258 by 442 
We're looking to find how many times 442 goes into 38959258.

Let's proceed to step 1:
If we divide 3 by 442, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 442

Advancing to step 2:
38 divided by 442 is 0 with a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 442

Moving on to step 3:
442 can be fit into 389 0 times, resulting in a remainder of 389.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 389, we end up with 389.
Take the next digit (5) from the dividend and append it to 389, then repeat: 3895 / 442

Advancing to step 4:
3895 divided by 442 is 8 with a remainder of 359.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 3536 from 3895 to get 359.
Append the next digit (9) from the dividend to 359 and continue with: 3599 / 442

On to step 5:
442 goes into 3599 8 times with a remainder of 63.
Use 8 as the next digit of our solution. 
Result so far: 88.0
The remainder is 63 after subtracting 3536 from 3599.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 442

On to step 6:
632 divided by 442 is 1 with a remainder of 190.
Put 1 as the next digit of the answer. 
Result so far: 881.0
Subtracting 442 from 632 leaves us with 190.
Include the next digit (5) from the dividend after 190, then repeat: 1905 / 442

Moving on to step 7:
442 can be fit into 1905 4 times, resulting in a remainder of 137.
The number 4 becomes the next digit in our result. 
Result so far: 8814.0
Subtracting 1768 from 1905 leaves us with 137.
Fetch the next digit (8) from the dividend, attach it to 137 and continue: 1378 / 442

Step 8:
442 goes into 1378 3 times with a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 88143.0
If we subtract 1326 from 1378, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
520 divided by 442 is 1 with a remainder of 78.
Record the quotient 1 as the next digit in the result. 
Result so far: 88143.1
Deduct 442 from 520 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 10:
When dividing 780 by 442, we get 1 with a remainder of 338.
Use 1 as the next digit of our solution. 
Result so far: 88143.11
Deduct 442 from 780 and we're left with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Our division results in 88143.11 with a remaining 0.338.