We look at the division of 801188 by 45 
We're looking to find how many times 45 goes into 801188.

Going ahead to step 1:
8 divided by 45 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 45

Advancing to step 2:
80 divided by 45 is 1 with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 35 after subtracting 45 from 80.
Fetch the next digit (1) from the dividend, attach it to 35 and continue: 351 / 45

Let's proceed to step 3:
When dividing 351 by 45, we get 7 with a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 315 from 351 leaves us with 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 45

Let's proceed to step 4:
If we divide 361 by 45, we get 8 and a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 178.0
Deduct 360 from 361 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 45

Advancing to step 5:
45 goes into 18 0 times with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 1780.0
Deduct 0 from 18 and we're left with 18.
Fetch the next digit (8) from the dividend, attach it to 18 and continue: 188 / 45

Let's proceed to step 6:
When dividing 188 by 45, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 17804.0
Subtract 180 from 188 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 45 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 17804.1
Subtract 45 from 80 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 17804.17
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
45 can be fit into 350 7 times, resulting in a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 17804.177
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 17804.177 with a balance of 0.0035.