We look at the division of 374958 by 16 
We're looking to find how many times 16 goes into 374958.

Advancing to step 1:
When dividing 3 by 16, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 16

Going ahead to step 2:
When dividing 37 by 16, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 32 from 37, we get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 16

Step 3:
16 can be fit into 54 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 23.0
The remainder is 6 after subtracting 48 from 54.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 16

Moving on to step 4:
When dividing 69 by 16, we get 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 234.0
If we subtract 64 from 69, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 16

Moving on to step 5:
The number 16 fits into 55 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2343.0
Subtracting 48 from 55 leaves us with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 16

Let's proceed to step 6:
16 goes into 78 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 23434.0
If we subtract 64 from 78, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
16 goes into 140 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 23434.8
Subtract 128 from 140 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The next digit of our result is 7. 
Result so far: 23434.87
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 23434.875
Subtract 80 from 80 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 23434.875
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 23434.875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 23434.875, with a leftover of 0.0.