We're dividing 21500714 by 513 
We want to divide 21500714 by 513.

Step 1:
The number 513 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 513

Advancing to step 2:
When dividing 21 by 513, we get 0 with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 513

Let's proceed to step 3:
If we divide 215 by 513, we get 0 and a remainder of 215.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 215, we end up with 215.
Append the next digit (0) from the dividend to 215 and continue with: 2150 / 513

Step 4:
When dividing 2150 by 513, we get 4 with a remainder of 98.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 2052 from 2150 and we're left with 98.
Include the next digit (0) from the dividend after 98, then repeat: 980 / 513

Advancing to step 5:
The number 513 fits into 980 1 times, leaving a remainder of 467.
The next digit of our result is 1. 
Result so far: 41.0
If we take 513 away from 980, we end up with 467.
Include the next digit (7) from the dividend after 467, then repeat: 4677 / 513

Advancing to step 6:
513 goes into 4677 9 times with a remainder of 60.
Use 9 as the next digit of our solution. 
Result so far: 419.0
Subtracting 4617 from 4677 leaves us with 60.
Append the next digit (1) from the dividend to 60 and continue with: 601 / 513

Step 7:
513 goes into 601 1 times with a remainder of 88.
Write down 1 as next digit of the result. 
Result so far: 4191.0
Deduct 513 from 601 and we're left with 88.
Append the next digit (4) from the dividend to 88 and continue with: 884 / 513

Moving on to step 8:
If we divide 884 by 513, we get 1 and a remainder of 371.
Use 1 as the next digit of our solution. 
Result so far: 41911.0
If we take 513 away from 884, we end up with 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

Advancing to step 9:
The number 513 fits into 3710 7 times, leaving a remainder of 119.
The next digit of our result is 7. 
Result so far: 41911.7
Deduct 3591 from 3710 and we're left with 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

Advancing to step 10:
1190 divided by 513 is 2 with a remainder of 164.
Record the quotient 2 as the next digit in the result. 
Result so far: 41911.72
If we take 1026 away from 1190, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Advancing to step 11:
1640 divided by 513 is 3 with a remainder of 101.
Use 3 as the next digit of our solution. 
Result so far: 41911.723
Deduct 1539 from 1640 and we're left with 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

On to step 12:
The number 513 fits into 1010 1 times, leaving a remainder of 497.
Record the quotient 1 as the next digit in the result. 
Result so far: 41911.7231
Deduct 513 from 1010 and we're left with 497.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4970, and continue the process.

Advancing to step 13:
513 goes into 4970 9 times with a remainder of 353.
The number 9 becomes the next digit in our result. 
Result so far: 41911.72319
Subtract 4617 from 4970 to get 353.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3530, and continue the process.

Going ahead to step 14:
513 can be fit into 3530 6 times, resulting in a remainder of 452.
Write down 6 as next digit of the result. 
Result so far: 41911.723196
If we subtract 3078 from 3530, we get 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Let's proceed to step 15:
The number 513 fits into 4520 8 times, leaving a remainder of 416.
The number 8 becomes the next digit in our result. 
Result so far: 41911.7231968
Subtracting 4104 from 4520 leaves us with 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

Moving on to step 16:
513 can be fit into 4160 8 times, resulting in a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 41911.72319688
If we subtract 4104 from 4160, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final outcome is 41911.72319688, with a leftover of 5.6e-08.