643353 divided by 59 
Our goal is to divide 643353 by 59.

Moving on to step 1:
59 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 59

Let's proceed to step 2:
59 goes into 64 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 59 from 64 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 59

Moving on to step 3:
59 can be fit into 53 0 times, resulting in a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 53, we end up with 53.
Include the next digit (3) from the dividend after 53, then repeat: 533 / 59

Advancing to step 4:
59 can be fit into 533 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
The remainder is 2 after subtracting 531 from 533.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 59

Let's proceed to step 5:
If we divide 25 by 59, we get 0 and a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 1090.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (3) from the dividend and append it to 25, then repeat: 253 / 59

On to step 6:
253 divided by 59 is 4 with a remainder of 17.
The next digit of our result is 4. 
Result so far: 10904.0
Subtracting 236 from 253 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
59 goes into 170 2 times with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 10904.2
If we take 118 away from 170, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
If we divide 520 by 59, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 10904.28
The remainder is 48 after subtracting 472 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
The number 59 fits into 480 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 10904.288
If we take 472 away from 480, 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.

The final result is 10904.288 with a remainder of 0.0008.