We look at the division of 15325604 by 374 
We're looking to find how many times 374 goes into 15325604.

On to step 1:
374 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 374

On to step 2:
374 goes into 15 0 times with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 374

Let's proceed to step 3:
374 can be fit into 153 0 times, resulting in a remainder of 153.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 153 after subtracting 0 from 153.
Grab the next digit (2) from the dividend, add it to 153, then carry on: 1532 / 374

Advancing to step 4:
If we divide 1532 by 374, we get 4 and a remainder of 36.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 1496 from 1532 and we're left with 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 374

Advancing to step 5:
If we divide 365 by 374, we get 0 and a remainder of 365.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
Deduct 0 from 365 and we're left with 365.
Include the next digit (6) from the dividend after 365, then repeat: 3656 / 374

Going ahead to step 6:
If we divide 3656 by 374, we get 9 and a remainder of 290.
Record the quotient 9 as the next digit in the result. 
Result so far: 409.0
Subtract 3366 from 3656 to get 290.
Take the next digit (0) from the dividend and append it to 290, then repeat: 2900 / 374

On to step 7:
374 goes into 2900 7 times with a remainder of 282.
Write down 7 as next digit of the result. 
Result so far: 4097.0
If we take 2618 away from 2900, we end up with 282.
Take the next digit (4) from the dividend and append it to 282, then repeat: 2824 / 374

Step 8:
374 can be fit into 2824 7 times, resulting in a remainder of 206.
Put 7 as the next digit of the answer. 
Result so far: 40977.0
Deduct 2618 from 2824 and we're left with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

On to step 9:
374 can be fit into 2060 5 times, resulting in a remainder of 190.
Use 5 as the next digit of our solution. 
Result so far: 40977.5
The remainder is 190 after subtracting 1870 from 2060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Going ahead to step 10:
If we divide 1900 by 374, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 40977.55
Subtracting 1870 from 1900 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 40977.55, and the remainder is 0.03.