We're dividing 433421 by 8 
We want to figure out the number of times 433421 can be divided by 8.

On to step 1:
If we divide 4 by 8, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 8

Let's proceed to step 2:
43 divided by 8 is 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 40 from 43 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 8

Step 3:
33 divided by 8 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 54.0
The remainder is 1 after subtracting 32 from 33.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 8

Going ahead to step 4:
8 goes into 14 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 541.0
Subtracting 8 from 14 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 8

On to step 5:
If we divide 62 by 8, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 5417.0
If we subtract 56 from 62, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 8

Going ahead to step 6:
When dividing 61 by 8, we get 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 54177.0
Subtract 56 from 61 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 8, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 54177.6
Subtract 48 from 50 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.

On to step 8:
8 goes into 20 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 54177.62
If we subtract 16 from 20, we 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.

Step 9:
40 divided by 8 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 54177.625
If we take 40 away from 40, we end up 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:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 54177.625
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.

Going ahead to step 11:
0 divided by 8 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 54177.625
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.

The quotient of the division is 54177.625, and the remainder is 0.0.