Let's divide 306641 by 8
We're looking to find how many times 8 goes into 306641.

Step 1:
If we divide 3 by 8, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 8

Let's proceed to step 2:
8 can be fit into 30 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 24 from 30 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 8

Moving on to step 3:
The number 8 fits into 66 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 38.0
If we subtract 64 from 66, we get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 8

Moving on to step 4:
If we divide 26 by 8, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 383.0
Deduct 24 from 26 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 8

Let's proceed to step 5:
The number 8 fits into 24 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3833.0
Subtract 24 from 24 to get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 8

Moving on to step 6:
The number 8 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 38330.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 8, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 38330.1
Subtracting 8 from 10 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
8 goes into 20 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 38330.12
Subtracting 16 from 20 leaves us 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.

Going ahead to step 9:
8 can be fit into 40 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 38330.125
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 38330.125
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 11:
If we divide 0 by 8, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 38330.125
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 38330.125, with a leftover of 0.0.