374608 ÷ 15 
We're looking to find how many times 15 goes into 374608.

Advancing to step 1:
If we divide 3 by 15, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 15

Advancing to step 2:
15 can be fit into 37 2 times, resulting in a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 30 from 37 leaves us with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 15

Step 3:
74 divided by 15 is 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
If we take 60 away from 74, we end up with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 15

On to step 4:
When dividing 146 by 15, we get 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 249.0
If we subtract 135 from 146, we get 11.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 15

Let's proceed to step 5:
15 goes into 110 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 2497.0
If we take 105 away from 110, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 15

On to step 6:
15 goes into 58 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 24973.0
Subtract 45 from 58 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
130 divided by 15 is 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 24973.8
Subtracting 120 from 130 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
15 goes into 100 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 24973.86
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 24973.866
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 24973.866 with a remainder of 0.001.