109643 ÷ 59 
We want to divide 109643 by 59.

On to step 1:
The number 59 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 59

Advancing to step 2:
If we divide 10 by 59, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 59

Let's proceed to step 3:
When dividing 109 by 59, we get 1 with a remainder of 50.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 59 from 109 and we're left with 50.
Include the next digit (6) from the dividend after 50, then repeat: 506 / 59

On to step 4:
506 divided by 59 is 8 with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtract 472 from 506 to get 34.
Include the next digit (4) from the dividend after 34, then repeat: 344 / 59

On to step 5:
344 divided by 59 is 5 with a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 185.0
If we take 295 away from 344, we end up with 49.
Take the next digit (3) from the dividend and append it to 49, then repeat: 493 / 59

Going ahead to step 6:
493 divided by 59 is 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 1858.0
If we take 472 away from 493, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
The number 59 fits into 210 3 times, leaving a remainder of 33.
The next digit of our result is 3. 
Result so far: 1858.3
Subtract 177 from 210 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 8:
If we divide 330 by 59, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 1858.35
If we subtract 295 from 330, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
59 can be fit into 350 5 times, resulting in a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 1858.355
Deduct 295 from 350 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.

After the division, we end up with 1858.355 and a remainder of 0.0055.