35878 ÷ 9 
We want to figure out the number of times 35878 can be divided by 9.

On to step 1:
3 divided by 9 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 9

Advancing to step 2:
35 divided by 9 is 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 27 from 35 leaves us with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 9

Advancing to step 3:
88 divided by 9 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we subtract 81 from 88, we get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 9

Moving on to step 4:
9 can be fit into 77 8 times, resulting in a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 398.0
If we subtract 72 from 77, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 9

Let's proceed to step 5:
9 goes into 58 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 3986.0
Deduct 54 from 58 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 6:
If we divide 40 by 9, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 3986.4
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 9 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 3986.44
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 3986.44 with a remainder of 0.004.