Let's divide 126458 by 13
Let's see how many times 13 fits into 126458.

Moving on to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 13

Going ahead to step 2:
13 can be fit into 12 0 times, resulting in a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 13

Step 3:
126 divided by 13 is 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 117 from 126 to get 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 13

On to step 4:
13 goes into 94 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 97.0
If we subtract 91 from 94, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Going ahead to step 5:
When dividing 35 by 13, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 972.0
Subtract 26 from 35 to get 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 13

Advancing to step 6:
13 can be fit into 98 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 9727.0
The remainder is 7 after subtracting 91 from 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 9727.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 9727.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 9727.538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 9727.5384
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.

Step 11:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 9727.53846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 9727.538461
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.

Advancing to step 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 9727.5384615
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.

Advancing to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 9727.53846153
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.

The final outcome is 9727.53846153, with a leftover of 1.1e-08.