We're dividing 7837873 by 756 
We want to divide 7837873 by 756.

Let's proceed to step 1:
The number 756 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 756

Let's proceed to step 2:
The number 756 fits into 78 0 times, leaving a remainder of 78.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 78 and we're left with 78.
Take the next digit (3) from the dividend and append it to 78, then repeat: 783 / 756

Advancing to step 3:
783 divided by 756 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 756 from 783 to get 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 756

Going ahead to step 4:
756 can be fit into 277 0 times, resulting in a remainder of 277.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 277, we end up with 277.
Fetch the next digit (8) from the dividend, attach it to 277 and continue: 2778 / 756

Let's proceed to step 5:
If we divide 2778 by 756, we get 3 and a remainder of 510.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
Subtracting 2268 from 2778 leaves us with 510.
Append the next digit (7) from the dividend to 510 and continue with: 5107 / 756

Going ahead to step 6:
756 can be fit into 5107 6 times, resulting in a remainder of 571.
Write down 6 as next digit of the result. 
Result so far: 1036.0
If we take 4536 away from 5107, we end up with 571.
Take the next digit (3) from the dividend and append it to 571, then repeat: 5713 / 756

Moving on to step 7:
756 goes into 5713 7 times with a remainder of 421.
Write down 7 as next digit of the result. 
Result so far: 10367.0
Subtract 5292 from 5713 to get 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Moving on to step 8:
756 can be fit into 4210 5 times, resulting in a remainder of 430.
Put 5 as the next digit of the answer. 
Result so far: 10367.5
If we subtract 3780 from 4210, we get 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Advancing to step 9:
756 can be fit into 4300 5 times, resulting in a remainder of 520.
The number 5 becomes the next digit in our result. 
Result so far: 10367.55
Subtracting 3780 from 4300 leaves us with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

In conclusion, the division gives 10367.55 with a balance of 0.52.