642339 ÷ 43 
Our goal is to divide 642339 by 43.

On to step 1:
43 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 43

Going ahead to step 2:
When dividing 64 by 43, we get 1 with a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 43 from 64 leaves us with 21.
Include the next digit (2) from the dividend after 21, then repeat: 212 / 43

Going ahead to step 3:
If we divide 212 by 43, we get 4 and a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 40 after subtracting 172 from 212.
Take the next digit (3) from the dividend and append it to 40, then repeat: 403 / 43

Step 4:
43 can be fit into 403 9 times, resulting in a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
If we take 387 away from 403, we end up with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 43

Moving on to step 5:
When dividing 163 by 43, we get 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 1493.0
Subtract 129 from 163 to get 34.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 43

Going ahead to step 6:
When dividing 349 by 43, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 14938.0
Subtracting 344 from 349 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
43 goes into 50 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 14938.1
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.

Moving on to step 8:
43 can be fit into 70 1 times, resulting in a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 14938.11
Subtract 43 from 70 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Our division results in 14938.11 with a remaining 0.027.