We divide 106774 by 13
Our goal is to divide 106774 by 13.

Moving on to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 13

Going ahead to step 2:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 13

Advancing to step 3:
13 goes into 106 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 104 from 106 to get 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 13

Advancing to step 4:
When dividing 27 by 13, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Deduct 26 from 27 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Moving on to step 5:
17 divided by 13 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 821.0
If we take 13 away from 17, we end up with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 13

Going ahead to step 6:
13 can be fit into 44 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 8213.0
Subtracting 39 from 44 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 8213.3
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8213.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 8213.384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 8213.3846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8213.38461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8213.384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 8213.3846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 8213.38461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 8213.38461538, with a leftover of 6e-09.