13181 divided by 74 
We want to figure out the number of times 13181 can be divided by 74.

Going ahead to step 1:
1 divided by 74 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 74

Going ahead to step 2:
When dividing 13 by 74, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 74

Advancing to step 3:
The number 74 fits into 131 1 times, leaving a remainder of 57.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 57 after subtracting 74 from 131.
Include the next digit (8) from the dividend after 57, then repeat: 578 / 74

On to step 4:
When dividing 578 by 74, we get 7 with a remainder of 60.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 518 from 578 to get 60.
Fetch the next digit (1) from the dividend, attach it to 60 and continue: 601 / 74

Moving on to step 5:
If we divide 601 by 74, we get 8 and a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 178.0
Deduct 592 from 601 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 6:
74 can be fit into 90 1 times, resulting in a remainder of 16.
The next digit of our result is 1. 
Result so far: 178.1
Subtract 74 from 90 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
The number 74 fits into 160 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 178.12
Subtract 148 from 160 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
If we divide 120 by 74, we get 1 and a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 178.121
If we subtract 74 from 120, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 9:
74 goes into 460 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 178.1216
The remainder is 16 after subtracting 444 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
When dividing 160 by 74, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 178.12162
If we take 148 away from 160, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
When dividing 120 by 74, we get 1 with a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 178.121621
Subtracting 74 from 120 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
If we divide 460 by 74, we get 6 and a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 178.1216216
Deduct 444 from 460 and we're left 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.

Moving on to step 13:
If we divide 160 by 74, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 178.12162162
The remainder is 12 after subtracting 148 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 178.12162162, with a leftover of 1.2e-08.