We divide 635906 by 7
We want to figure out the number of times 635906 can be divided by 7.

On to step 1:
The number 7 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 7

Let's proceed to step 2:
If we divide 63 by 7, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 63 from 63, we get 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 7

Moving on to step 3:
5 divided by 7 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 90.0
If we subtract 0 from 5, we get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 7

Advancing to step 4:
7 can be fit into 59 8 times, resulting in a remainder of 3.
Record the quotient 8 as the next digit in the result. 
Result so far: 908.0
Deduct 56 from 59 and we're left with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 5:
If we divide 30 by 7, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 9084.0
Deduct 28 from 30 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 7

Going ahead to step 6:
26 divided by 7 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 90843.0
Subtracting 21 from 26 leaves us 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.

On to step 7:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 90843.7
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 90843.71
Deduct 7 from 10 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
If we divide 30 by 7, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 90843.714
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
If we divide 20 by 7, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 90843.7142
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 11:
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: 90843.71428
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.

Going ahead to step 12:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 90843.714285
Subtract 35 from 40 to 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.

Moving on to step 13:
50 divided by 7 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 90843.7142857
Deduct 49 from 50 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 90843.71428571
If we take 7 away from 10, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 90843.71428571 with a balance of 3e-09.