We're dividing 106190 by 13 
Our goal is to divide 106190 by 13.

Going ahead to step 1:
13 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 13

On to step 2:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Going ahead to step 3:
13 goes into 106 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 2 after subtracting 104 from 106.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Advancing to step 4:
13 goes into 21 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 81.0
Deduct 13 from 21 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 13

Advancing to step 5:
13 can be fit into 89 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 816.0
Deduct 78 from 89 and we're left with 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 13

On to step 6:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 8168.0
Subtracting 104 from 110 leaves us 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.

Moving on to step 7:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 8168.4
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 8168.46
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.

Moving on to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 8168.461
The remainder is 7 after subtracting 13 from 20.
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 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8168.4615
Subtracting 65 from 70 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.

Step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 8168.46153
Deduct 39 from 50 and we're left with 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 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8168.461538
If we take 104 away from 110, we end up 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.

Let's proceed to step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8168.4615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 8168.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 8168.46153846, and the remainder is 2e-09.