We're dividing 7876371 by 511 
We're looking to find how many times 511 goes into 7876371.

Advancing to step 1:
511 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 511

Moving on to step 2:
When dividing 78 by 511, we get 0 with a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Bring next digit (7) of the dividend behind the 78 and repeat the process: 787 / 511

Going ahead to step 3:
511 can be fit into 787 1 times, resulting in a remainder of 276.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 276 after subtracting 511 from 787.
Take the next digit (6) from the dividend and append it to 276, then repeat: 2766 / 511

Going ahead to step 4:
When dividing 2766 by 511, we get 5 with a remainder of 211.
The next digit of our result is 5. 
Result so far: 15.0
Subtract 2555 from 2766 to get 211.
Grab the next digit (3) from the dividend, add it to 211, then carry on: 2113 / 511

Advancing to step 5:
If we divide 2113 by 511, we get 4 and a remainder of 69.
The next digit of our result is 4. 
Result so far: 154.0
If we take 2044 away from 2113, we end up with 69.
Include the next digit (7) from the dividend after 69, then repeat: 697 / 511

On to step 6:
511 goes into 697 1 times with a remainder of 186.
The next digit of our result is 1. 
Result so far: 1541.0
The remainder is 186 after subtracting 511 from 697.
Bring next digit (1) of the dividend behind the 186 and repeat the process: 1861 / 511

Going ahead to step 7:
1861 divided by 511 is 3 with a remainder of 328.
Write down 3 as next digit of the result. 
Result so far: 15413.0
If we take 1533 away from 1861, we end up with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Let's proceed to step 8:
3280 divided by 511 is 6 with a remainder of 214.
Put 6 as the next digit of the answer. 
Result so far: 15413.6
Subtracting 3066 from 3280 leaves us with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Moving on to step 9:
If we divide 2140 by 511, we get 4 and a remainder of 96.
Write down 4 as next digit of the result. 
Result so far: 15413.64
Subtracting 2044 from 2140 leaves us with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Moving on to step 10:
When dividing 960 by 511, we get 1 with a remainder of 449.
The next digit of our result is 1. 
Result so far: 15413.641
If we take 511 away from 960, we end up with 449.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4490, and continue the process.

Let's proceed to step 11:
511 goes into 4490 8 times with a remainder of 402.
Use 8 as the next digit of our solution. 
Result so far: 15413.6418
Deduct 4088 from 4490 and we're left with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Step 12:
511 can be fit into 4020 7 times, resulting in a remainder of 443.
Write down 7 as next digit of the result. 
Result so far: 15413.64187
If we subtract 3577 from 4020, we get 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4430, and continue the process.

Advancing to step 13:
When dividing 4430 by 511, we get 8 with a remainder of 342.
The next digit of our result is 8. 
Result so far: 15413.641878
The remainder is 342 after subtracting 4088 from 4430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

On to step 14:
511 goes into 3420 6 times with a remainder of 354.
Use 6 as the next digit of our solution. 
Result so far: 15413.6418786
Subtracting 3066 from 3420 leaves us with 354.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3540, and continue the process.

Let's proceed to step 15:
When dividing 3540 by 511, we get 6 with a remainder of 474.
Use 6 as the next digit of our solution. 
Result so far: 15413.64187866
Subtract 3066 from 3540 to get 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

In conclusion, the division gives 15413.64187866 with a balance of 4.74e-07.