51789 ÷ 88 
We want to figure out the number of times 51789 can be divided by 88.

Let's proceed to step 1:
When dividing 5 by 88, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 88

Let's proceed to step 2:
88 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 88

Let's proceed to step 3:
The number 88 fits into 517 5 times, leaving a remainder of 77.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 440 from 517, we get 77.
Grab the next digit (8) from the dividend, add it to 77, then carry on: 778 / 88

On to step 4:
If we divide 778 by 88, we get 8 and a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtract 704 from 778 to get 74.
Fetch the next digit (9) from the dividend, attach it to 74 and continue: 749 / 88

On to step 5:
749 divided by 88 is 8 with a remainder of 45.
The number 8 becomes the next digit in our result. 
Result so far: 588.0
Deduct 704 from 749 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 6:
When dividing 450 by 88, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 588.5
Deduct 440 from 450 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.

Going ahead to step 7:
100 divided by 88 is 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 588.51
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
120 divided by 88 is 1 with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 588.511
Subtract 88 from 120 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 588.511 with a remainder of 0.0032.