430871 ÷ 7 
Our goal is to divide 430871 by 7.

Going ahead to step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
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 / 7

On to step 2:
43 divided by 7 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
If we take 42 away from 43, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 7

Advancing to step 3:
If we divide 10 by 7, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 61.0
Deduct 7 from 10 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 7

Let's proceed to step 4:
When dividing 38 by 7, we get 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 615.0
The remainder is 3 after subtracting 35 from 38.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 7

Moving on to step 5:
When dividing 37 by 7, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 6155.0
Subtract 35 from 37 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 7

Going ahead to step 6:
The number 7 fits into 21 3 times, leaving a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 61553.0
If we subtract 21 from 21, 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:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 61553.0
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.

Moving on to step 8:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 61553.0
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 result is 61553.0 with a remainder of 0.0.