Let's divide 106435 by 13
Let's see how many times 13 fits into 106435.

Advancing to step 1:
13 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 13

Advancing to step 2:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Moving on to step 3:
If we divide 106 by 13, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 104 away from 106, we end up with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 13

On to step 4:
The number 13 fits into 24 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 81.0
If we subtract 13 from 24, we get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

Advancing to step 5:
When dividing 113 by 13, we get 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 818.0
If we take 104 away from 113, we end up with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 13

Moving on to step 6:
13 goes into 95 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 8187.0
If we take 91 away from 95, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 8187.3
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 8187.3
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 8187.307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 8187.3076
Subtracting 78 from 90 leaves us 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.

Step 11:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 8187.30769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 8187.307692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 13:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 8187.3076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 8187.3076923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 8187.3076923 with a remaining 1e-08.