10918525 ÷ 878 
We're looking to find how many times 878 goes into 10918525.

On to step 1:
If we divide 1 by 878, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 878

Step 2:
If we divide 10 by 878, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 878

Let's proceed to step 3:
109 divided by 878 is 0 with a remainder of 109.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 109 and we're left with 109.
Fetch the next digit (1) from the dividend, attach it to 109 and continue: 1091 / 878

Moving on to step 4:
The number 878 fits into 1091 1 times, leaving a remainder of 213.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 878 from 1091 and we're left with 213.
Grab the next digit (8) from the dividend, add it to 213, then carry on: 2138 / 878

On to step 5:
The number 878 fits into 2138 2 times, leaving a remainder of 382.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 1756 away from 2138, we end up with 382.
Fetch the next digit (5) from the dividend, attach it to 382 and continue: 3825 / 878

Step 6:
3825 divided by 878 is 4 with a remainder of 313.
Use 4 as the next digit of our solution. 
Result so far: 124.0
The remainder is 313 after subtracting 3512 from 3825.
Append the next digit (2) from the dividend to 313 and continue with: 3132 / 878

Let's proceed to step 7:
When dividing 3132 by 878, we get 3 with a remainder of 498.
The next digit of our result is 3. 
Result so far: 1243.0
The remainder is 498 after subtracting 2634 from 3132.
Bring next digit (5) of the dividend behind the 498 and repeat the process: 4985 / 878

Step 8:
The number 878 fits into 4985 5 times, leaving a remainder of 595.
Write down 5 as next digit of the result. 
Result so far: 12435.0
Subtracting 4390 from 4985 leaves us with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

Advancing to step 9:
The number 878 fits into 5950 6 times, leaving a remainder of 682.
Record the quotient 6 as the next digit in the result. 
Result so far: 12435.6
The remainder is 682 after subtracting 5268 from 5950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Step 10:
878 goes into 6820 7 times with a remainder of 674.
Put 7 as the next digit of the answer. 
Result so far: 12435.67
Subtract 6146 from 6820 to get 674.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6740, and continue the process.

On to step 11:
878 can be fit into 6740 7 times, resulting in a remainder of 594.
The number 7 becomes the next digit in our result. 
Result so far: 12435.677
If we take 6146 away from 6740, we end up with 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

The final outcome is 12435.677, with a leftover of 0.0594.