Let's divide 945431 by 8
We're looking to find how many times 8 goes into 945431.

On to step 1:
8 can be fit into 9 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 1 after subtracting 8 from 9.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 8

Step 2:
8 can be fit into 14 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 8 from 14 and we're left with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 8

Advancing to step 3:
The number 8 fits into 65 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
The remainder is 1 after subtracting 64 from 65.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 8

Step 4:
The number 8 fits into 14 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1181.0
Subtracting 8 from 14 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 8

On to step 5:
63 divided by 8 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 11817.0
Subtracting 56 from 63 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 8

Moving on to step 6:
When dividing 71 by 8, we get 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 118178.0
If we take 64 away from 71, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 8 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 118178.8
Subtracting 64 from 70 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
When dividing 60 by 8, we get 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 118178.87
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 118178.875
Deduct 40 from 40 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.

Moving on to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 118178.875
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.

Step 11:
If we divide 0 by 8, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 118178.875
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.

The final outcome is 118178.875, with a leftover of 0.0.