We look at the division of 42117 by 8 
Our goal is to divide 42117 by 8.

On to step 1:
8 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 8

Advancing to step 2:
When dividing 42 by 8, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 40 away from 42, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 8

Step 3:
If we divide 21 by 8, we get 2 and a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 52.0
If we subtract 16 from 21, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 8

Let's proceed to step 4:
51 divided by 8 is 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 526.0
Subtracting 48 from 51 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 8

Moving on to step 5:
8 can be fit into 37 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 5264.0
Subtract 32 from 37 to 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.

Going ahead to step 6:
The number 8 fits into 50 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5264.6
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
The number 8 fits into 20 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 5264.62
Subtracting 16 from 20 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.

Step 8:
8 can be fit into 40 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5264.625
Subtract 40 from 40 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 8, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5264.625
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5264.625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 5264.625 with a remaining 0.0.