We divide 345634 by 8
We're looking to find how many times 8 goes into 345634.

Going ahead to step 1:
When dividing 3 by 8, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 8

Step 2:
8 can be fit into 34 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 32 from 34, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 8

Let's proceed to step 3:
When dividing 25 by 8, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 43.0
If we subtract 24 from 25, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Step 4:
The number 8 fits into 16 2 times, leaving a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 432.0
Subtracting 16 from 16 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 8

Going ahead to step 5:
8 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 4320.0
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 8

Advancing to step 6:
If we divide 34 by 8, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 43204.0
Subtract 32 from 34 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
The number 8 fits into 20 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 43204.2
If we take 16 away from 20, we end up 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.

Step 8:
40 divided by 8 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 43204.25
Subtract 40 from 40 to 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 9:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 43204.25
Subtracting 0 from 0 leaves us 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.

Let's proceed to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 43204.25
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 quotient of the division is 43204.25, and the remainder is 0.0.