17942 ÷ 13 
Our goal is to divide 17942 by 13.

Moving on to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 13

Moving on to step 2:
The number 13 fits into 17 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 13 from 17 to get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 13

On to step 3:
When dividing 49 by 13, we get 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 39 from 49 and we're left with 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 13

Going ahead to step 4:
The number 13 fits into 104 8 times, leaving a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
If we take 104 away from 104, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 13

Let's proceed to step 5:
2 divided by 13 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 1380.0
Subtract 0 from 2 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1380.1
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1380.15
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 1380.153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 1380.1538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 1380.15384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1380.153846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1380.1538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 1380.15384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 1380.15384615 with a balance of 5e-09.