We look at the division of 514114 by 57 
We want to divide 514114 by 57.

Moving on to step 1:
57 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
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 / 57

Going ahead to step 2:
If we divide 51 by 57, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Grab the next digit (4) from the dividend, add it to 51, then carry on: 514 / 57

Moving on to step 3:
57 goes into 514 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 513 from 514 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 57

Moving on to step 4:
11 divided by 57 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 57

Let's proceed to step 5:
57 goes into 111 1 times with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 901.0
Subtracting 57 from 111 leaves us with 54.
Append the next digit (4) from the dividend to 54 and continue with: 544 / 57

Step 6:
57 goes into 544 9 times with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 9019.0
Subtract 513 from 544 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
If we divide 310 by 57, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 9019.5
Subtracting 285 from 310 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
57 goes into 250 4 times with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 9019.54
Deduct 228 from 250 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.

Going ahead to step 9:
When dividing 220 by 57, we get 3 with a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 9019.543
Subtracting 171 from 220 leaves us 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.

Going ahead to step 10:
490 divided by 57 is 8 with a remainder of 34.
The next digit of our result is 8. 
Result so far: 9019.5438
Subtract 456 from 490 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
340 divided by 57 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 9019.54385
Deduct 285 from 340 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 12:
57 can be fit into 550 9 times, resulting in a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 9019.543859
The remainder is 37 after subtracting 513 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 13:
The number 57 fits into 370 6 times, leaving a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 9019.5438596
If we take 342 away from 370, we end up 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.

Step 14:
The number 57 fits into 280 4 times, leaving a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 9019.54385964
Deduct 228 from 280 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 9019.54385964 with a balance of 5.2e-08.