We look at the division of 437364 by 13 
We want to divide 437364 by 13.

Advancing to step 1:
4 divided by 13 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Step 2:
43 divided by 13 is 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 39 from 43 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

Step 3:
13 goes into 47 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Deduct 39 from 47 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 13

On to step 4:
If we divide 83 by 13, we get 6 and a remainder of 5.
The next digit of our result is 6. 
Result so far: 336.0
If we subtract 78 from 83, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 13

Step 5:
56 divided by 13 is 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 3364.0
Deduct 52 from 56 and we're left with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 13

On to step 6:
44 divided by 13 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 33643.0
The remainder is 5 after subtracting 39 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
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: 33643.3
Subtracting 39 from 50 leaves us 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.

Let's proceed to step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 33643.38
Subtracting 104 from 110 leaves us with 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 9:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 33643.384
If we subtract 52 from 60, we 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 10:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 33643.3846
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 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 33643.38461
Deduct 13 from 20 and we're left 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.

Moving on to step 12:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 33643.384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
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: 33643.3846153
Subtract 39 from 50 to get 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 14:
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: 33643.38461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 33643.38461538 and a remainder of 6e-09.