Let's divide 430412 by 13
We want to divide 430412 by 13.

Let's proceed to step 1:
13 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 13

Step 2:
The number 13 fits into 43 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 39 from 43 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Advancing to step 3:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtracting 39 from 40 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 13

On to step 4:
The number 13 fits into 14 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 331.0
Deduct 13 from 14 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

Going ahead to step 5:
The number 13 fits into 11 0 times, leaving a remainder of 11.
The next digit of our result is 0. 
Result so far: 3310.0
Subtracting 0 from 11 leaves us with 11.
Include the next digit (2) from the dividend after 11, then repeat: 112 / 13

Step 6:
If we divide 112 by 13, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 33108.0
Subtracting 104 from 112 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 33108.6
Deduct 78 from 80 and we're left 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 8:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 33108.61
If we take 13 away from 20, we end up with 7.
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 9:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 33108.615
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.

Step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 33108.6153
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.

Advancing to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 33108.61538
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.

Moving on to step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 33108.615384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 33108.6153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 33108.61538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 33108.61538461, and the remainder is 7e-09.