126448 ÷ 13 
We're looking to find how many times 13 goes into 126448.

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.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Step 2:
12 divided by 13 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 13

Moving on to step 3:
126 divided by 13 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 117 from 126 leaves us with 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 13

Moving on to step 4:
When dividing 94 by 13, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Deduct 91 from 94 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 13

Going ahead to step 5:
If we divide 34 by 13, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 972.0
If we take 26 away from 34, we end up with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 13

Advancing to step 6:
When dividing 88 by 13, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 9726.0
Subtract 78 from 88 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 7:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 9726.7
Deduct 91 from 100 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.

Let's proceed to step 8:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 9726.76
Deduct 78 from 90 and we're left 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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 9726.769
Subtracting 117 from 120 leaves us 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.

On to step 10:
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: 9726.7692
Deduct 26 from 30 and we're left 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.

Advancing to step 11:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 9726.76923
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 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9726.76923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 9726.7692307
Deduct 91 from 100 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 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 9726.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 9726.76923076, and the remainder is 1.2e-08.