Let's divide 38172 by 89
We want to divide 38172 by 89.

On to step 1:
89 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 89

On to step 2:
When dividing 38 by 89, we get 0 with a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Grab the next digit (1) from the dividend, add it to 38, then carry on: 381 / 89

Advancing to step 3:
The number 89 fits into 381 4 times, leaving a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 356 away from 381, we end up with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 89

Advancing to step 4:
If we divide 257 by 89, we get 2 and a remainder of 79.
The next digit of our result is 2. 
Result so far: 42.0
If we take 178 away from 257, we end up with 79.
Take the next digit (2) from the dividend and append it to 79, then repeat: 792 / 89

Advancing to step 5:
792 divided by 89 is 8 with a remainder of 80.
Record the quotient 8 as the next digit in the result. 
Result so far: 428.0
Subtract 712 from 792 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 6:
89 goes into 800 8 times with a remainder of 88.
Put 8 as the next digit of the answer. 
Result so far: 428.8
If we subtract 712 from 800, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 7:
89 goes into 880 9 times with a remainder of 79.
The number 9 becomes the next digit in our result. 
Result so far: 428.89
If we take 801 away from 880, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 8:
If we divide 790 by 89, we get 8 and a remainder of 78.
Use 8 as the next digit of our solution. 
Result so far: 428.898
Subtract 712 from 790 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 9:
When dividing 780 by 89, we get 8 with a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 428.8988
The remainder is 68 after subtracting 712 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final outcome is 428.8988, with a leftover of 0.00068.