638405 ÷ 7 
Our goal is to divide 638405 by 7.

On to step 1:
7 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 7

Step 2:
When dividing 63 by 7, we get 9 with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 63 from 63, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 7

Moving on to step 3:
7 goes into 8 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 91.0
If we subtract 7 from 8, we get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 7

Let's proceed to step 4:
If we divide 14 by 7, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 912.0
Subtracting 14 from 14 leaves us with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 7

Going ahead to step 5:
If we divide 0 by 7, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 9120.0
The remainder is 0 after subtracting 0 from 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 7

Step 6:
If we divide 5 by 7, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 91200.0
Subtract 0 from 5 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.

Advancing to step 7:
50 divided by 7 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 91200.7
If we subtract 49 from 50, we 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 8:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 91200.71
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.

Advancing to step 9:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 91200.714
If we subtract 28 from 30, we 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 10:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 91200.7142
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.

Going ahead to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 91200.71428
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.

Advancing to step 12:
7 goes into 40 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 91200.714285
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.

Let's proceed to step 13:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 91200.7142857
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.

On to step 14:
7 goes into 10 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 91200.71428571
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.

Our division results in 91200.71428571 with a remaining 3e-09.