515079 ÷ 47 
Our goal is to divide 515079 by 47.

Let's proceed to step 1:
47 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 47

Advancing to step 2:
When dividing 51 by 47, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 47 from 51, we get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 47

Going ahead to step 3:
The number 47 fits into 45 0 times, leaving a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 45, we end up with 45.
Append the next digit (0) from the dividend to 45 and continue with: 450 / 47

Step 4:
47 goes into 450 9 times with a remainder of 27.
The next digit of our result is 9. 
Result so far: 109.0
Subtracting 423 from 450 leaves us with 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 47

On to step 5:
If we divide 277 by 47, we get 5 and a remainder of 42.
Put 5 as the next digit of the answer. 
Result so far: 1095.0
The remainder is 42 after subtracting 235 from 277.
Append the next digit (9) from the dividend to 42 and continue with: 429 / 47

Advancing to step 6:
If we divide 429 by 47, we get 9 and a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 10959.0
If we take 423 away from 429, we end up 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.

Moving on to step 7:
The number 47 fits into 60 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 10959.1
If we take 47 away from 60, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 8:
The number 47 fits into 130 2 times, leaving a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 10959.12
If we subtract 94 from 130, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
360 divided by 47 is 7 with a remainder of 31.
The next digit of our result is 7. 
Result so far: 10959.127
Deduct 329 from 360 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 10:
If we divide 310 by 47, we get 6 and a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 10959.1276
Deduct 282 from 310 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
The number 47 fits into 280 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 10959.12765
Deduct 235 from 280 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
If we divide 450 by 47, we get 9 and a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 10959.127659
The remainder is 27 after subtracting 423 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
When dividing 270 by 47, we get 5 with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 10959.1276595
Subtracting 235 from 270 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 14:
47 can be fit into 350 7 times, resulting in a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 10959.12765957
Subtract 329 from 350 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 10959.12765957 with a remaining 2.1e-08.