We look at the division of 374766 by 25 
We want to divide 374766 by 25.

Let's proceed to step 1:
3 divided by 25 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 25

On to step 2:
If we divide 37 by 25, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 25 from 37, we get 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 25

Advancing to step 3:
25 goes into 124 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 14.0
If we subtract 100 from 124, we get 24.
Include the next digit (7) from the dividend after 24, then repeat: 247 / 25

Going ahead to step 4:
If we divide 247 by 25, we get 9 and a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 149.0
Subtract 225 from 247 to get 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 25

On to step 5:
25 can be fit into 226 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1499.0
Deduct 225 from 226 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 25

Going ahead to step 6:
16 divided by 25 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 14990.0
If we take 0 away from 16, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
The number 25 fits into 160 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 14990.6
If we take 150 away from 160, 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 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 14990.64
Subtracting 100 from 100 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.

Going ahead to step 9:
25 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 14990.64
If we subtract 0 from 0, we 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.

Let's proceed to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14990.64
Subtract 0 from 0 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.

The final result is 14990.64 with a remainder of 0.0.