We're dividing 6980910 by 514 
We want to figure out the number of times 6980910 can be divided by 514.

Going ahead to step 1:
The number 514 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 514

On to step 2:
The number 514 fits into 69 0 times, leaving a remainder of 69.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 69 after subtracting 0 from 69.
Bring next digit (8) of the dividend behind the 69 and repeat the process: 698 / 514

Let's proceed to step 3:
514 can be fit into 698 1 times, resulting in a remainder of 184.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 184 after subtracting 514 from 698.
Bring next digit (0) of the dividend behind the 184 and repeat the process: 1840 / 514

Going ahead to step 4:
514 can be fit into 1840 3 times, resulting in a remainder of 298.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 1542 from 1840 and we're left with 298.
Include the next digit (9) from the dividend after 298, then repeat: 2989 / 514

Let's proceed to step 5:
2989 divided by 514 is 5 with a remainder of 419.
Use 5 as the next digit of our solution. 
Result so far: 135.0
The remainder is 419 after subtracting 2570 from 2989.
Include the next digit (1) from the dividend after 419, then repeat: 4191 / 514

Advancing to step 6:
The number 514 fits into 4191 8 times, leaving a remainder of 79.
The number 8 becomes the next digit in our result. 
Result so far: 1358.0
Subtract 4112 from 4191 to get 79.
Take the next digit (0) from the dividend and append it to 79, then repeat: 790 / 514

Moving on to step 7:
If we divide 790 by 514, we get 1 and a remainder of 276.
Record the quotient 1 as the next digit in the result. 
Result so far: 13581.0
If we take 514 away from 790, we end up with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

Let's proceed to step 8:
514 can be fit into 2760 5 times, resulting in a remainder of 190.
Record the quotient 5 as the next digit in the result. 
Result so far: 13581.5
Subtract 2570 from 2760 to get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Moving on to step 9:
The number 514 fits into 1900 3 times, leaving a remainder of 358.
Use 3 as the next digit of our solution. 
Result so far: 13581.53
The remainder is 358 after subtracting 1542 from 1900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Step 10:
The number 514 fits into 3580 6 times, leaving a remainder of 496.
Use 6 as the next digit of our solution. 
Result so far: 13581.536
Deduct 3084 from 3580 and we're left with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Let's proceed to step 11:
When dividing 4960 by 514, we get 9 with a remainder of 334.
The number 9 becomes the next digit in our result. 
Result so far: 13581.5369
Subtract 4626 from 4960 to get 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Step 12:
514 goes into 3340 6 times with a remainder of 256.
The number 6 becomes the next digit in our result. 
Result so far: 13581.53696
The remainder is 256 after subtracting 3084 from 3340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 13:
514 can be fit into 2560 4 times, resulting in a remainder of 504.
Put 4 as the next digit of the answer. 
Result so far: 13581.536964
Subtract 2056 from 2560 to get 504.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5040, and continue the process.

Going ahead to step 14:
The number 514 fits into 5040 9 times, leaving a remainder of 414.
Put 9 as the next digit of the answer. 
Result so far: 13581.5369649
If we subtract 4626 from 5040, we get 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

On to step 15:
The number 514 fits into 4140 8 times, leaving a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 13581.53696498
Deduct 4112 from 4140 and we're left 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.

The final result is 13581.53696498 with a remainder of 2.8e-08.