We're dividing 88661 by 7 
We want to figure out the number of times 88661 can be divided by 7.

Advancing to step 1:
The number 7 fits into 8 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 7 from 8 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 7

Going ahead to step 2:
If we divide 18 by 7, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 14 away from 18, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 7

Advancing to step 3:
When dividing 46 by 7, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 126.0
The remainder is 4 after subtracting 42 from 46.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 7

Step 4:
7 can be fit into 46 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1266.0
If we subtract 42 from 46, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 7

Step 5:
When dividing 41 by 7, we get 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 12665.0
The remainder is 6 after subtracting 35 from 41.
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 6:
7 goes into 60 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 12665.8
The remainder is 4 after subtracting 56 from 60.
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 7:
7 goes into 40 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12665.85
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.

On to step 8:
7 goes into 50 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 12665.857
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.

On to step 9:
7 goes into 10 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 12665.8571
The remainder is 3 after subtracting 7 from 10.
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 10:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 12665.85714
If we take 28 away from 30, we end up with 2.
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 11:
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: 12665.857142
Deduct 14 from 20 and we're left 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 12:
If we divide 60 by 7, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 12665.8571428
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.

Moving on to step 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 12665.85714285
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.

The quotient of the division is 12665.85714285, and the remainder is 5e-09.