8107627 ÷ 3 
We want to figure out the number of times 8107627 can be divided by 3.

On to step 1:
The number 3 fits into 8 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 6 from 8 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 3

Going ahead to step 2:
3 goes into 21 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 27.0
Subtract 21 from 21 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 3

Going ahead to step 3:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 270.0
Deduct 0 from 0 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 3

Step 4:
When dividing 7 by 3, we get 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2702.0
Deduct 6 from 7 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Step 5:
16 divided by 3 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 27025.0
Subtracting 15 from 16 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 3

Moving on to step 6:
If we divide 12 by 3, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 270254.0
If we take 12 away from 12, we end up with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 3

Advancing to step 7:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2702542.0
Deduct 6 from 7 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 2702542.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
3 goes into 10 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 2702542.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 2702542.33, and the remainder is 0.001.