We divide 43662 by 7
We want to figure out the number of times 43662 can be divided by 7.

Going ahead to step 1:
The number 7 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 7

Step 2:
7 goes into 43 6 times with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 1 after subtracting 42 from 43.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 7

Going ahead to step 3:
16 divided by 7 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
If we subtract 14 from 16, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Let's proceed to step 4:
7 can be fit into 26 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 623.0
If we subtract 21 from 26, we get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 7

Going ahead to step 5:
7 goes into 52 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 6237.0
Subtract 49 from 52 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.

Let's proceed to step 6:
7 goes into 30 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 6237.4
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.

Going ahead to step 7:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 6237.42
If we subtract 14 from 20, we 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 8:
7 goes into 60 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 6237.428
Subtracting 56 from 60 leaves us 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.

Let's proceed to step 9:
When dividing 40 by 7, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6237.4285
If we take 35 away from 40, we end up 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.

Step 10:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 6237.42857
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.

Step 11:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 6237.428571
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.

Moving on to step 12:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 6237.4285714
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.

Step 13:
When dividing 20 by 7, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 6237.42857142
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.

The final result is 6237.42857142 with a remainder of 6e-09.