Let's divide 638375 by 7
We want to divide 638375 by 7.

Advancing to step 1:
If we divide 6 by 7, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 7

Moving on to step 2:
7 goes into 63 9 times with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 0 after subtracting 63 from 63.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 7

Step 3:
7 can be fit into 8 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
If we take 7 away from 8, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 7

Moving on to step 4:
7 can be fit into 13 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 911.0
If we subtract 7 from 13, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

On to step 5:
When dividing 67 by 7, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 9119.0
Subtract 63 from 67 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Let's proceed to step 6:
When dividing 45 by 7, we get 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 91196.0
Subtract 42 from 45 to 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 7:
7 goes into 30 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 91196.4
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.

Step 8:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 91196.42
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.

Advancing to step 9:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 91196.428
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.

On to step 10:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 91196.4285
Deduct 35 from 40 and we're left 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.

Going ahead to step 11:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 91196.42857
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.

Going ahead to step 12:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 91196.428571
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.

Moving on to step 13:
When dividing 30 by 7, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 91196.4285714
The remainder is 2 after subtracting 28 from 30.
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 14:
If we divide 20 by 7, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 91196.42857142
Subtract 14 from 20 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.

In conclusion, the division gives 91196.42857142 with a balance of 6e-09.