We're dividing 261513 by 43 
Let's see how many times 43 fits into 261513.

Going ahead to step 1:
When dividing 2 by 43, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 43

On to step 2:
The number 43 fits into 26 0 times, leaving a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 43

Advancing to step 3:
If we divide 261 by 43, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 258 from 261 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 43

On to step 4:
If we divide 35 by 43, we get 0 and a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 60.0
If we subtract 0 from 35, we get 35.
Take the next digit (1) from the dividend and append it to 35, then repeat: 351 / 43

Going ahead to step 5:
43 can be fit into 351 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 608.0
The remainder is 7 after subtracting 344 from 351.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 43

Let's proceed to step 6:
If we divide 73 by 43, we get 1 and a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 6081.0
Deduct 43 from 73 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
300 divided by 43 is 6 with a remainder of 42.
The next digit of our result is 6. 
Result so far: 6081.6
If we take 258 away from 300, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
43 goes into 420 9 times with a remainder of 33.
The next digit of our result is 9. 
Result so far: 6081.69
Subtracting 387 from 420 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
330 divided by 43 is 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 6081.697
Subtracting 301 from 330 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 10:
43 goes into 290 6 times with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 6081.6976
If we take 258 away from 290, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
The number 43 fits into 320 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 6081.69767
Subtracting 301 from 320 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 12:
The number 43 fits into 190 4 times, leaving a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 6081.697674
The remainder is 18 after subtracting 172 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
When dividing 180 by 43, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 6081.6976744
If we subtract 172 from 180, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 6081.6976744, and the remainder is 8e-08.