We look at the division of 373699 by 45 
We want to figure out the number of times 373699 can be divided by 45.

Going ahead to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 45

Step 2:
The number 45 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 45

Going ahead to step 3:
The number 45 fits into 373 8 times, leaving a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 360 away from 373, we end up with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 45

On to step 4:
If we divide 136 by 45, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 83.0
Deduct 135 from 136 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 45

On to step 5:
45 goes into 19 0 times with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 830.0
Deduct 0 from 19 and we're left with 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 45

Moving on to step 6:
The number 45 fits into 199 4 times, leaving a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 8304.0
Deduct 180 from 199 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
45 goes into 190 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 8304.4
The remainder is 10 after subtracting 180 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
The next digit of our result is 2. 
Result so far: 8304.42
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.

Advancing to step 9:
45 goes into 100 2 times with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 8304.422
Deduct 90 from 100 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.

The quotient of the division is 8304.422, and the remainder is 0.001.