Let's divide 34663 by 43
Our goal is to divide 34663 by 43.

Step 1:
43 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 43

On to step 2:
When dividing 34 by 43, we get 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 43

Step 3:
If we divide 346 by 43, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 8.0
Deduct 344 from 346 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 43

Advancing to step 4:
If we divide 26 by 43, we get 0 and a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
If we take 0 away from 26, we end up with 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 43

Step 5:
The number 43 fits into 263 6 times, leaving a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 806.0
Subtract 258 from 263 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
43 can be fit into 50 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 806.1
Subtract 43 from 50 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
The number 43 fits into 70 1 times, leaving a remainder of 27.
The next digit of our result is 1. 
Result so far: 806.11
Subtracting 43 from 70 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 806.11 and a remainder of 0.027.