17688 divided by 42 
We're looking to find how many times 42 goes into 17688.

Advancing to step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 42

On to step 2:
The number 42 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 42

On to step 3:
176 divided by 42 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 4.0
If we take 168 away from 176, we end up with 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 42

Going ahead to step 4:
If we divide 88 by 42, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 84 from 88 and we're left with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 42

Let's proceed to step 5:
The number 42 fits into 48 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 421.0
If we take 42 away from 48, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
When dividing 60 by 42, we get 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 421.1
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
42 goes into 180 4 times with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 421.14
If we take 168 away from 180, 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.

Let's proceed to step 8:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 421.142
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
When dividing 360 by 42, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 421.1428
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
If we divide 240 by 42, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 421.14285
Deduct 210 from 240 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 421.142857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
60 divided by 42 is 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 421.1428571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
If we divide 180 by 42, we get 4 and a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 421.14285714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 421.14285714, with a leftover of 1.2e-08.