We divide 1645 by 88
Our goal is to divide 1645 by 88.

Step 1:
When dividing 1 by 88, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 88

Moving on to step 2:
The number 88 fits into 16 0 times, leaving a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 16 leaves us with 16.
Fetch the next digit (4) from the dividend, attach it to 16 and continue: 164 / 88

Going ahead to step 3:
When dividing 164 by 88, we get 1 with a remainder of 76.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 88 from 164 and we're left with 76.
Include the next digit (5) from the dividend after 76, then repeat: 765 / 88

Advancing to step 4:
When dividing 765 by 88, we get 8 with a remainder of 61.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 61 after subtracting 704 from 765.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 5:
88 goes into 610 6 times with a remainder of 82.
Write down 6 as next digit of the result. 
Result so far: 18.6
The remainder is 82 after subtracting 528 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 6:
820 divided by 88 is 9 with a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 18.69
Subtract 792 from 820 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
88 goes into 280 3 times with a remainder of 16.
The next digit of our result is 3. 
Result so far: 18.693
If we take 264 away from 280, 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.

Moving on to step 8:
160 divided by 88 is 1 with a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 18.6931
If we subtract 88 from 160, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 9:
The number 88 fits into 720 8 times, leaving a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 18.69318
Deduct 704 from 720 and we're left 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.

Moving on to step 10:
If we divide 160 by 88, we get 1 and a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 18.693181
If we take 88 away from 160, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 11:
The number 88 fits into 720 8 times, leaving a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 18.6931818
Subtracting 704 from 720 leaves us 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.

Moving on to step 12:
88 can be fit into 160 1 times, resulting in a remainder of 72.
The next digit of our result is 1. 
Result so far: 18.69318181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The quotient of the division is 18.69318181, and the remainder is 7.2e-08.