643033 divided by 13 
We want to divide 643033 by 13.

Let's proceed to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 13

On to step 2:
64 divided by 13 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 52 away from 64, we end up with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 13

Let's proceed to step 3:
When dividing 123 by 13, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 49.0
If we take 117 away from 123, we end up with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 13

Moving on to step 4:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 494.0
The remainder is 8 after subtracting 52 from 60.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 13

Advancing to step 5:
83 divided by 13 is 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 4946.0
The remainder is 5 after subtracting 78 from 83.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 13

Advancing to step 6:
If we divide 53 by 13, we get 4 and a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 49464.0
Subtracting 52 from 53 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.

Step 7:
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: 49464.0
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 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 49464.07
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 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 49464.076
If we take 78 away from 90, we end up 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.

Moving on to step 10:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 49464.0769
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.

Step 11:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 49464.07692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 49464.076923
Deduct 39 from 40 and we're left 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.

On to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 49464.076923
If we subtract 0 from 10, we 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.

Moving on to step 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 49464.07692307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 49464.07692307 and a remainder of 9e-09.