372376 ÷ 45 
We're looking to find how many times 45 goes into 372376.

On to step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 45

Moving on to step 2:
45 goes into 37 0 times with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Grab the next digit (2) from the dividend, add it to 37, then carry on: 372 / 45

Step 3:
45 can be fit into 372 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 360 from 372 leaves us with 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 45

On to step 4:
45 goes into 123 2 times with a remainder of 33.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtract 90 from 123 to get 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 45

Advancing to step 5:
45 goes into 337 7 times with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 827.0
Subtract 315 from 337 to get 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 45

Moving on to step 6:
45 can be fit into 226 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 8275.0
If we subtract 225 from 226, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 45 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 8275.0
Deduct 0 from 10 and we're left 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:
If we divide 100 by 45, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 8275.02
If we subtract 90 from 100, we get 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:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 8275.022
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.

The quotient of the division is 8275.022, and the remainder is 0.001.