We're dividing 643296 by 59 
We want to divide 643296 by 59.

Step 1:
6 divided by 59 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 59

Let's proceed to step 2:
The number 59 fits into 64 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 59 away from 64, we end up with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 59

On to step 3:
The number 59 fits into 53 0 times, leaving a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 53, we get 53.
Bring next digit (2) of the dividend behind the 53 and repeat the process: 532 / 59

Going ahead to step 4:
59 can be fit into 532 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 109.0
Subtracting 531 from 532 leaves us with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 59

Going ahead to step 5:
The number 59 fits into 19 0 times, leaving a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 1090.0
The remainder is 19 after subtracting 0 from 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 59

On to step 6:
59 goes into 196 3 times with a remainder of 19.
The next digit of our result is 3. 
Result so far: 10903.0
The remainder is 19 after subtracting 177 from 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
190 divided by 59 is 3 with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 10903.3
The remainder is 13 after subtracting 177 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
If we divide 130 by 59, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 10903.32
Subtracting 118 from 130 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.

On to step 9:
If we divide 120 by 59, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 10903.322
If we subtract 118 from 120, 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.

After the division, we end up with 10903.322 and a remainder of 0.0002.