9971514 divided by 513 
We're looking to find how many times 513 goes into 9971514.

On to step 1:
The number 513 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 513

Going ahead to step 2:
513 can be fit into 99 0 times, resulting in a remainder of 99.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 99 leaves us with 99.
Grab the next digit (7) from the dividend, add it to 99, then carry on: 997 / 513

Advancing to step 3:
513 goes into 997 1 times with a remainder of 484.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 513 away from 997, we end up with 484.
Append the next digit (1) from the dividend to 484 and continue with: 4841 / 513

Moving on to step 4:
513 goes into 4841 9 times with a remainder of 224.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 224 after subtracting 4617 from 4841.
Bring next digit (5) of the dividend behind the 224 and repeat the process: 2245 / 513

Let's proceed to step 5:
If we divide 2245 by 513, we get 4 and a remainder of 193.
The number 4 becomes the next digit in our result. 
Result so far: 194.0
The remainder is 193 after subtracting 2052 from 2245.
Take the next digit (1) from the dividend and append it to 193, then repeat: 1931 / 513

Going ahead to step 6:
If we divide 1931 by 513, we get 3 and a remainder of 392.
Record the quotient 3 as the next digit in the result. 
Result so far: 1943.0
Subtracting 1539 from 1931 leaves us with 392.
Include the next digit (4) from the dividend after 392, then repeat: 3924 / 513

Moving on to step 7:
If we divide 3924 by 513, we get 7 and a remainder of 333.
Record the quotient 7 as the next digit in the result. 
Result so far: 19437.0
If we subtract 3591 from 3924, we get 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3330, and continue the process.

Advancing to step 8:
513 can be fit into 3330 6 times, resulting in a remainder of 252.
Use 6 as the next digit of our solution. 
Result so far: 19437.6
The remainder is 252 after subtracting 3078 from 3330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Going ahead to step 9:
The number 513 fits into 2520 4 times, leaving a remainder of 468.
The number 4 becomes the next digit in our result. 
Result so far: 19437.64
If we subtract 2052 from 2520, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

On to step 10:
If we divide 4680 by 513, we get 9 and a remainder of 63.
The next digit of our result is 9. 
Result so far: 19437.649
If we subtract 4617 from 4680, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 11:
If we divide 630 by 513, we get 1 and a remainder of 117.
Use 1 as the next digit of our solution. 
Result so far: 19437.6491
If we take 513 away from 630, we end up with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Moving on to step 12:
1170 divided by 513 is 2 with a remainder of 144.
The number 2 becomes the next digit in our result. 
Result so far: 19437.64912
Subtracting 1026 from 1170 leaves us with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Step 13:
1440 divided by 513 is 2 with a remainder of 414.
Write down 2 as next digit of the result. 
Result so far: 19437.649122
Deduct 1026 from 1440 and we're left with 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

After the division, we end up with 19437.649122 and a remainder of 4.14e-05.