We're dividing 513311 by 47 
We want to figure out the number of times 513311 can be divided by 47.

Going ahead to step 1:
If we divide 5 by 47, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 47

Advancing to step 2:
The number 47 fits into 51 1 times, leaving 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.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 47

Advancing to step 3:
When dividing 43 by 47, we get 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 43, we get 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 47

On to step 4:
When dividing 433 by 47, we get 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
If we take 423 away from 433, we end up with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 47

Step 5:
47 can be fit into 101 2 times, resulting in a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 1092.0
Subtracting 94 from 101 leaves us with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 47

Let's proceed to step 6:
71 divided by 47 is 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 10921.0
The remainder is 24 after subtracting 47 from 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
If we divide 240 by 47, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 10921.5
Subtracting 235 from 240 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 8:
When dividing 50 by 47, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 10921.51
If we subtract 47 from 50, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
The number 47 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 10921.51
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
When dividing 300 by 47, we get 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 10921.5106
Subtract 282 from 300 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
If we divide 180 by 47, we get 3 and a remainder of 39.
The next digit of our result is 3. 
Result so far: 10921.51063
If we subtract 141 from 180, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 12:
If we divide 390 by 47, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 10921.510638
If we take 376 away from 390, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
When dividing 140 by 47, we get 2 with a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 10921.5106382
The remainder is 46 after subtracting 94 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 14:
47 goes into 460 9 times with a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 10921.51063829
Deduct 423 from 460 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

After the division, we end up with 10921.51063829 and a remainder of 3.7e-08.