Let's divide 349957 by 13
Our goal is to divide 349957 by 13.

Let's proceed to step 1:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 13

Let's proceed to step 2:
If we divide 34 by 13, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 26 from 34 leaves us with 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 13

Going ahead to step 3:
89 divided by 13 is 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
Deduct 78 from 89 and we're left with 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 13

On to step 4:
The number 13 fits into 119 9 times, leaving a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 269.0
Subtracting 117 from 119 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 13

Let's proceed to step 5:
13 can be fit into 25 1 times, resulting in a remainder of 12.
The next digit of our result is 1. 
Result so far: 2691.0
If we take 13 away from 25, we end up with 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 13

Going ahead to step 6:
The number 13 fits into 127 9 times, leaving a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 26919.0
The remainder is 10 after subtracting 117 from 127.
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:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 26919.7
Subtracting 91 from 100 leaves us 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.

On to step 8:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 26919.76
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 26919.769
If we take 117 away from 120, we end up 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.

Let's proceed to step 10:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 26919.7692
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.

Step 11:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 26919.76923
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.

Let's proceed to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 26919.76923
Deduct 0 from 10 and we're left 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.

Moving on to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 26919.7692307
Subtracting 91 from 100 leaves us 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 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 26919.76923076
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.

The final result is 26919.76923076 with a remainder of 1.2e-08.