Let's divide 34117 by 42
We want to divide 34117 by 42.

Moving on to step 1:
42 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 42

Moving on to step 2:
When dividing 34 by 42, we get 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 42

Moving on to step 3:
42 goes into 341 8 times with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 336 from 341 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 42

Moving on to step 4:
42 goes into 51 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we subtract 42 from 51, we get 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 42

Let's proceed to step 5:
42 goes into 97 2 times with a remainder of 13.
The next digit of our result is 2. 
Result so far: 812.0
Subtracting 84 from 97 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
The number 42 fits into 130 3 times, leaving a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 812.3
Deduct 126 from 130 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
If we divide 40 by 42, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 812.3
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
42 goes into 400 9 times with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 812.309
The remainder is 22 after subtracting 378 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
If we divide 220 by 42, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 812.3095
If we take 210 away from 220, we end up 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.

Advancing to step 10:
42 goes into 100 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 812.30952
Subtracting 84 from 100 leaves us 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.

On to step 11:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 812.309523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 12:
If we divide 340 by 42, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 812.3095238
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 812.3095238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 812.3095238 with a balance of 4e-08.