Let's divide 645633 by 59
Let's see how many times 59 fits into 645633.

Advancing to step 1:
The number 59 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 59

Advancing 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
The remainder is 5 after subtracting 59 from 64.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 59

Step 3:
If we divide 55 by 59, we get 0 and a remainder of 55.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 55, we end up with 55.
Bring next digit (6) of the dividend behind the 55 and repeat the process: 556 / 59

Advancing to step 4:
556 divided by 59 is 9 with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
The remainder is 25 after subtracting 531 from 556.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 59

Advancing to step 5:
When dividing 253 by 59, we get 4 with a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 1094.0
Deduct 236 from 253 and we're left with 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 59

On to step 6:
59 goes into 173 2 times with a remainder of 55.
The next digit of our result is 2. 
Result so far: 10942.0
Deduct 118 from 173 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
When dividing 550 by 59, we get 9 with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 10942.9
The remainder is 19 after subtracting 531 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
The number 59 fits into 190 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 10942.93
If we subtract 177 from 190, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
59 goes into 130 2 times with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 10942.932
The remainder is 12 after subtracting 118 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
59 can be fit into 120 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 10942.9322
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.

The final result is 10942.9322 with a remainder of 2e-05.