We're dividing 388672 by 89 
Let's see how many times 89 fits into 388672.

On to step 1:
3 divided by 89 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 89

Step 2:
38 divided by 89 is 0 with a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Bring next digit (8) of the dividend behind the 38 and repeat the process: 388 / 89

Moving on to step 3:
When dividing 388 by 89, we get 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 356 from 388, we get 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 89

Step 4:
When dividing 326 by 89, we get 3 with a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Deduct 267 from 326 and we're left with 59.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 89

Going ahead to step 5:
When dividing 597 by 89, we get 6 with a remainder of 63.
Put 6 as the next digit of the answer. 
Result so far: 436.0
The remainder is 63 after subtracting 534 from 597.
Bring next digit (2) of the dividend behind the 63 and repeat the process: 632 / 89

On to step 6:
The number 89 fits into 632 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 4367.0
If we subtract 623 from 632, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
89 goes into 90 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 4367.1
If we subtract 89 from 90, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
10 divided by 89 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 4367.1
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
When dividing 100 by 89, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 4367.101
Subtracting 89 from 100 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
89 can be fit into 110 1 times, resulting in a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 4367.1011
Subtract 89 from 110 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 4367.1011 with a remainder of 0.00021.