We're dividing 637959 by 7 
Our goal is to divide 637959 by 7.

Moving on to step 1:
The number 7 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 7

On to step 2:
When dividing 63 by 7, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 63 from 63 and we're left with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 7

On to step 3:
If we divide 7 by 7, we get 1 and a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 91.0
If we take 7 away from 7, we end up with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 7

Moving on to step 4:
9 divided by 7 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 911.0
Subtract 7 from 9 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Let's proceed to step 5:
7 goes into 25 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 9113.0
If we take 21 away from 25, we end up with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 7

Let's proceed to step 6:
49 divided by 7 is 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 91137.0
If we take 49 away from 49, 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.

Let's proceed to step 7:
7 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 91137.0
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.

On to step 8:
7 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 91137.0
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.

In conclusion, the division gives 91137.0 with a balance of 0.0.