We're dividing 101476 by 514 
Our goal is to divide 101476 by 514.

Advancing to step 1:
The number 514 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 514

On to step 2:
If we divide 10 by 514, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 514

Moving on to step 3:
The number 514 fits into 101 0 times, leaving a remainder of 101.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 101 and we're left with 101.
Take the next digit (4) from the dividend and append it to 101, then repeat: 1014 / 514

On to step 4:
514 can be fit into 1014 1 times, resulting in a remainder of 500.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 514 from 1014 leaves us with 500.
Take the next digit (7) from the dividend and append it to 500, then repeat: 5007 / 514

Advancing to step 5:
If we divide 5007 by 514, we get 9 and a remainder of 381.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Deduct 4626 from 5007 and we're left with 381.
Fetch the next digit (6) from the dividend, attach it to 381 and continue: 3816 / 514

On to step 6:
The number 514 fits into 3816 7 times, leaving a remainder of 218.
The next digit of our result is 7. 
Result so far: 197.0
Subtract 3598 from 3816 to get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Step 7:
514 can be fit into 2180 4 times, resulting in a remainder of 124.
Put 4 as the next digit of the answer. 
Result so far: 197.4
The remainder is 124 after subtracting 2056 from 2180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Let's proceed to step 8:
The number 514 fits into 1240 2 times, leaving a remainder of 212.
Write down 2 as next digit of the result. 
Result so far: 197.42
The remainder is 212 after subtracting 1028 from 1240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

On to step 9:
514 goes into 2120 4 times with a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 197.424
Subtract 2056 from 2120 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 10:
514 can be fit into 640 1 times, resulting in a remainder of 126.
Use 1 as the next digit of our solution. 
Result so far: 197.4241
Deduct 514 from 640 and we're left with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Let's proceed to step 11:
If we divide 1260 by 514, we get 2 and a remainder of 232.
The next digit of our result is 2. 
Result so far: 197.42412
Subtract 1028 from 1260 to get 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 12:
514 goes into 2320 4 times with a remainder of 264.
Put 4 as the next digit of the answer. 
Result so far: 197.424124
If we subtract 2056 from 2320, we get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Going ahead to step 13:
If we divide 2640 by 514, we get 5 and a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 197.4241245
Deduct 2570 from 2640 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 14:
If we divide 700 by 514, we get 1 and a remainder of 186.
Put 1 as the next digit of the answer. 
Result so far: 197.42412451
Subtract 514 from 700 to get 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Our division results in 197.42412451 with a remaining 1.86e-07.