975815 ÷ 78 
We want to figure out the number of times 975815 can be divided by 78.

Advancing to step 1:
78 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 78

On to step 2:
The number 78 fits into 97 1 times, leaving a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 78 from 97 and we're left with 19.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 78

Step 3:
78 goes into 195 2 times with a remainder of 39.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 156 from 195, we get 39.
Bring next digit (8) of the dividend behind the 39 and repeat the process: 398 / 78

Advancing to step 4:
When dividing 398 by 78, we get 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 125.0
Subtract 390 from 398 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 78

Going ahead to step 5:
81 divided by 78 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1251.0
Subtracting 78 from 81 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 78

Going ahead to step 6:
The number 78 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 12510.0
Subtracting 0 from 35 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
350 divided by 78 is 4 with a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 12510.4
The remainder is 38 after subtracting 312 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
78 can be fit into 380 4 times, resulting in a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 12510.44
Deduct 312 from 380 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 12510.44 with a remaining 0.068.