Let's divide 429958 by 13
Our goal is to divide 429958 by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 13

Going ahead to step 2:
If we divide 42 by 13, we get 3 and a remainder of 3.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 39 from 42 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 13

Let's proceed to step 3:
The number 13 fits into 39 3 times, leaving a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 33.0
The remainder is 0 after subtracting 39 from 39.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 13

On to step 4:
If we divide 9 by 13, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 330.0
If we subtract 0 from 9, we get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

On to step 5:
95 divided by 13 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 3307.0
The remainder is 4 after subtracting 91 from 95.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 13

On to step 6:
48 divided by 13 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 33073.0
Deduct 39 from 48 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 7:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 33073.6
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.

Advancing to step 8:
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: 33073.69
Subtract 117 from 120 to get 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 9:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 33073.692
Subtracting 26 from 30 leaves us 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 10:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 33073.6923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 33073.6923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 33073.692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 33073.6923076
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 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 33073.69230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 33073.69230769, and the remainder is 3e-09.