We're dividing 13617163 by 174 
We want to divide 13617163 by 174.

Moving on to step 1:
1 divided by 174 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 174

On to step 2:
If we divide 13 by 174, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 174

On to step 3:
174 can be fit into 136 0 times, resulting in a remainder of 136.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 136 leaves us with 136.
Append the next digit (1) from the dividend to 136 and continue with: 1361 / 174

Let's proceed to step 4:
When dividing 1361 by 174, we get 7 with a remainder of 143.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 143 after subtracting 1218 from 1361.
Take the next digit (7) from the dividend and append it to 143, then repeat: 1437 / 174

Going ahead to step 5:
If we divide 1437 by 174, we get 8 and a remainder of 45.
Put 8 as the next digit of the answer. 
Result so far: 78.0
Subtracting 1392 from 1437 leaves us with 45.
Fetch the next digit (1) from the dividend, attach it to 45 and continue: 451 / 174

Going ahead to step 6:
If we divide 451 by 174, we get 2 and a remainder of 103.
The next digit of our result is 2. 
Result so far: 782.0
If we subtract 348 from 451, we get 103.
Fetch the next digit (6) from the dividend, attach it to 103 and continue: 1036 / 174

Advancing to step 7:
174 goes into 1036 5 times with a remainder of 166.
The next digit of our result is 5. 
Result so far: 7825.0
Subtract 870 from 1036 to get 166.
Grab the next digit (3) from the dividend, add it to 166, then carry on: 1663 / 174

Step 8:
1663 divided by 174 is 9 with a remainder of 97.
The number 9 becomes the next digit in our result. 
Result so far: 78259.0
Deduct 1566 from 1663 and we're left with 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Advancing to step 9:
970 divided by 174 is 5 with a remainder of 100.
Use 5 as the next digit of our solution. 
Result so far: 78259.5
Deduct 870 from 970 and we're left with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 10:
The number 174 fits into 1000 5 times, leaving a remainder of 130.
Use 5 as the next digit of our solution. 
Result so far: 78259.55
If we take 870 away from 1000, we end up with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

In conclusion, the division gives 78259.55 with a balance of 0.13.