We look at the division of 641178 by 9 
We want to figure out the number of times 641178 can be divided by 9.

Moving on to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 9

On to step 2:
The number 9 fits into 64 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 63 from 64 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 9

On to step 3:
If we divide 11 by 9, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 71.0
The remainder is 2 after subtracting 9 from 11.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 9

Advancing to step 4:
If we divide 21 by 9, we get 2 and a remainder of 3.
The next digit of our result is 2. 
Result so far: 712.0
Subtracting 18 from 21 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 9

Let's proceed to step 5:
When dividing 37 by 9, we get 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 7124.0
If we take 36 away from 37, we end up with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 9

On to step 6:
The number 9 fits into 18 2 times, leaving a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 71242.0
If we subtract 18 from 18, 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.

Going ahead to step 7:
If we divide 0 by 9, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 71242.0
If we subtract 0 from 0, 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 8:
When dividing 0 by 9, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 71242.0
If we take 0 away from 0, 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.

The final outcome is 71242.0, with a leftover of 0.0.