We look at the division of 430631 by 671 
We're looking to find how many times 671 goes into 430631.

On to step 1:
671 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 671

Going ahead to step 2:
671 goes into 43 0 times with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Fetch the next digit (0) from the dividend, attach it to 43 and continue: 430 / 671

Moving on to step 3:
The number 671 fits into 430 0 times, leaving a remainder of 430.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 430, we end up with 430.
Grab the next digit (6) from the dividend, add it to 430, then carry on: 4306 / 671

Moving on to step 4:
671 goes into 4306 6 times with a remainder of 280.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 4026 away from 4306, we end up with 280.
Include the next digit (3) from the dividend after 280, then repeat: 2803 / 671

On to step 5:
671 goes into 2803 4 times with a remainder of 119.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we subtract 2684 from 2803, we get 119.
Fetch the next digit (1) from the dividend, attach it to 119 and continue: 1191 / 671

On to step 6:
The number 671 fits into 1191 1 times, leaving a remainder of 520.
The number 1 becomes the next digit in our result. 
Result so far: 641.0
If we subtract 671 from 1191, we get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Step 7:
671 goes into 5200 7 times with a remainder of 503.
Write down 7 as next digit of the result. 
Result so far: 641.7
The remainder is 503 after subtracting 4697 from 5200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5030, and continue the process.

Step 8:
When dividing 5030 by 671, we get 7 with a remainder of 333.
Use 7 as the next digit of our solution. 
Result so far: 641.77
If we subtract 4697 from 5030, we get 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3330, and continue the process.

The final outcome is 641.77, with a leftover of 0.333.