663611 ÷ 43 
We want to divide 663611 by 43.

Step 1:
The number 43 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 43

On to step 2:
When dividing 66 by 43, we get 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 43 from 66 leaves us with 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 43

Moving on to step 3:
If we divide 233 by 43, we get 5 and a remainder of 18.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 215 from 233 and we're left with 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 43

Advancing to step 4:
When dividing 186 by 43, we get 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
If we subtract 172 from 186, we get 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 43

Moving on to step 5:
43 can be fit into 141 3 times, resulting in a remainder of 12.
The next digit of our result is 3. 
Result so far: 1543.0
If we subtract 129 from 141, we get 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 43

Going ahead to step 6:
If we divide 121 by 43, we get 2 and a remainder of 35.
The number 2 becomes the next digit in our result. 
Result so far: 15432.0
If we subtract 86 from 121, 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.

On to step 7:
If we divide 350 by 43, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 15432.8
Deduct 344 from 350 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
60 divided by 43 is 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 15432.81
The remainder is 17 after subtracting 43 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
The number 43 fits into 170 3 times, leaving a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 15432.813
Deduct 129 from 170 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 10:
When dividing 410 by 43, we get 9 with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 15432.8139
Subtracting 387 from 410 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 11:
230 divided by 43 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 15432.81395
If we take 215 away from 230, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
When dividing 150 by 43, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 15432.813953
Subtracting 129 from 150 leaves us 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.

On to step 13:
The number 43 fits into 210 4 times, leaving a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 15432.8139534
Subtract 172 from 210 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 14:
43 goes into 380 8 times with a remainder of 36.
The next digit of our result is 8. 
Result so far: 15432.81395348
If we take 344 away from 380, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 15432.81395348 and a remainder of 3.6e-08.