172937 ÷ 89 
We want to figure out the number of times 172937 can be divided by 89.

On to step 1:
89 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 89

On to step 2:
If we divide 17 by 89, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 89

Going ahead to step 3:
172 divided by 89 is 1 with a remainder of 83.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 83 after subtracting 89 from 172.
Include the next digit (9) from the dividend after 83, then repeat: 839 / 89

Step 4:
When dividing 839 by 89, we get 9 with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 801 from 839, we get 38.
Include the next digit (3) from the dividend after 38, then repeat: 383 / 89

Step 5:
89 goes into 383 4 times with a remainder of 27.
Record the quotient 4 as the next digit in the result. 
Result so far: 194.0
Subtract 356 from 383 to get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 89

Let's proceed to step 6:
When dividing 277 by 89, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 1943.0
Deduct 267 from 277 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.

Moving on to step 7:
89 can be fit into 100 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1943.1
The remainder is 11 after subtracting 89 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
89 can be fit into 110 1 times, resulting in a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1943.11
The remainder is 21 after subtracting 89 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 1943.11, and the remainder is 0.021.