17888 ÷ 28 
We want to figure out the number of times 17888 can be divided by 28.

Advancing to step 1:
If we divide 1 by 28, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 28

Advancing to step 2:
If we divide 17 by 28, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 28

Going ahead to step 3:
If we divide 178 by 28, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 10 after subtracting 168 from 178.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 28

Advancing to step 4:
The number 28 fits into 108 3 times, leaving a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 63.0
If we subtract 84 from 108, we get 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 28

Advancing to step 5:
28 goes into 248 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 638.0
The remainder is 24 after subtracting 224 from 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 6:
If we divide 240 by 28, we get 8 and a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 638.8
Deduct 224 from 240 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 7:
When dividing 160 by 28, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 638.85
Deduct 140 from 160 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
When dividing 200 by 28, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 638.857
The remainder is 4 after subtracting 196 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
28 goes into 40 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 638.8571
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
The number 28 fits into 120 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 638.85714
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 28, we get 2 and a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 638.857142
If we subtract 56 from 80, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
240 divided by 28 is 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 638.8571428
If we subtract 224 from 240, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
28 goes into 160 5 times with a remainder of 20.
The next digit of our result is 5. 
Result so far: 638.85714285
If we subtract 140 from 160, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 638.85714285 with a remaining 2e-08.