Let's divide 434059 by 8
Our goal is to divide 434059 by 8.

On to step 1:
8 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 8

Let's proceed to step 2:
8 goes into 43 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 40 from 43 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 8

On to step 3:
The number 8 fits into 34 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 54.0
Subtract 32 from 34 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 4:
8 goes into 20 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 542.0
The remainder is 4 after subtracting 16 from 20.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 8

Moving on to step 5:
When dividing 45 by 8, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5425.0
The remainder is 5 after subtracting 40 from 45.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 8

Moving on to step 6:
The number 8 fits into 59 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 54257.0
Subtract 56 from 59 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
8 goes into 30 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 54257.3
Subtract 24 from 30 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
60 divided by 8 is 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 54257.37
Subtract 56 from 60 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.

On to step 9:
8 goes into 40 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 54257.375
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.

Moving on to step 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 54257.375
Subtract 0 from 0 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.

Moving on to step 11:
If we divide 0 by 8, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 54257.375
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.

After the division, we end up with 54257.375 and a remainder of 0.0.