100117 ÷ 76 
Our goal is to divide 100117 by 76.

Let's proceed to step 1:
76 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 76

Advancing to step 2:
76 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 76

Going ahead to step 3:
If we divide 100 by 76, we get 1 and a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 24 after subtracting 76 from 100.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 76

On to step 4:
241 divided by 76 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 228 from 241 leaves us with 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 76

Moving on to step 5:
The number 76 fits into 131 1 times, leaving a remainder of 55.
The next digit of our result is 1. 
Result so far: 131.0
The remainder is 55 after subtracting 76 from 131.
Include the next digit (7) from the dividend after 55, then repeat: 557 / 76

On to step 6:
If we divide 557 by 76, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 1317.0
The remainder is 25 after subtracting 532 from 557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
When dividing 250 by 76, we get 3 with a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 1317.3
Subtracting 228 from 250 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
76 can be fit into 220 2 times, resulting in a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 1317.32
Subtracting 152 from 220 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
When dividing 680 by 76, we get 8 with a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 1317.328
The remainder is 72 after subtracting 608 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 10:
The number 76 fits into 720 9 times, leaving a remainder of 36.
The number 9 becomes the next digit in our result. 
Result so far: 1317.3289
Subtracting 684 from 720 leaves us 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.

Step 11:
When dividing 360 by 76, we get 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 1317.32894
If we take 304 away from 360, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 12:
76 goes into 560 7 times with a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 1317.328947
If we take 532 away from 560, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
When dividing 280 by 76, we get 3 with a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 1317.3289473
Subtracting 228 from 280 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 14:
76 goes into 520 6 times with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 1317.32894736
Subtract 456 from 520 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 1317.32894736 and a remainder of 6.4e-08.