We're dividing 566314 by 51 
We're looking to find how many times 51 goes into 566314.

Let's proceed to step 1:
5 divided by 51 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 51

Let's proceed to step 2:
56 divided by 51 is 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 51 from 56 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 51

Going ahead to step 3:
56 divided by 51 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 51 from 56 leaves us with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 51

Let's proceed to step 4:
51 can be fit into 53 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 111.0
If we take 51 away from 53, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 51

Going ahead to step 5:
21 divided by 51 is 0 with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 1110.0
Subtracting 0 from 21 leaves us with 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 51

On to step 6:
When dividing 214 by 51, we get 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 11104.0
Subtracting 204 from 214 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
51 goes into 100 1 times with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 11104.1
If we take 51 away from 100, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 8:
51 can be fit into 490 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 11104.19
Deduct 459 from 490 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.

Going ahead to step 9:
When dividing 310 by 51, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 11104.196
The remainder is 4 after subtracting 306 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
The number 51 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 11104.196
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
51 goes into 400 7 times with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 11104.19607
Subtract 357 from 400 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 12:
51 can be fit into 430 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 11104.196078
Deduct 408 from 430 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
The number 51 fits into 220 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 11104.1960784
Subtract 204 from 220 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
If we divide 160 by 51, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 11104.19607843
Subtracting 153 from 160 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 11104.19607843 with a remaining 7e-09.