71638 ÷ 7 
Let's see how many times 7 fits into 71638.

Going ahead to step 1:
When dividing 7 by 7, we get 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 7 from 7 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 7

Going ahead to step 2:
7 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 7

Let's proceed to step 3:
When dividing 16 by 7, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
Subtracting 14 from 16 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 7

Step 4:
7 can be fit into 23 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1023.0
If we take 21 away from 23, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 7

Step 5:
The number 7 fits into 28 4 times, leaving a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 10234.0
If we subtract 28 from 28, 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.

On to step 6:
The number 7 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10234.0
Deduct 0 from 0 and we're left 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.

Moving on to step 7:
When dividing 0 by 7, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10234.0
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.

The final result is 10234.0 with a remainder of 0.0.