Let's divide 431654 by 7
Let's see how many times 7 fits into 431654.

Step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 7

Going ahead to step 2:
If we divide 43 by 7, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 1 after subtracting 42 from 43.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 7

Step 3:
11 divided by 7 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 61.0
Deduct 7 from 11 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 7

Let's proceed to step 4:
When dividing 46 by 7, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 616.0
The remainder is 4 after subtracting 42 from 46.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 7

Going ahead to step 5:
The number 7 fits into 45 6 times, leaving a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 6166.0
If we subtract 42 from 45, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 7

Step 6:
7 can be fit into 34 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 61664.0
Subtract 28 from 34 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
If we divide 60 by 7, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 61664.8
If we subtract 56 from 60, 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.

Moving on to step 8:
7 goes into 40 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 61664.85
If we subtract 35 from 40, we 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 9:
50 divided by 7 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 61664.857
Subtract 49 from 50 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 61664.8571
If we subtract 7 from 10, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 61664.85714
Subtract 28 from 30 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.

Advancing to step 12:
20 divided by 7 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 61664.857142
If we take 14 away from 20, we end up 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 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 61664.8571428
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 61664.85714285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 61664.85714285 with a remainder of 5e-09.