81699 ÷ 7 
Our goal is to divide 81699 by 7.

Moving on to step 1:
7 goes into 8 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 7 from 8 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 7

Step 2:
7 goes into 11 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 7 from 11, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 7

On to step 3:
If we divide 46 by 7, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 116.0
If we take 42 away from 46, we end up with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 7

Let's proceed to step 4:
If we divide 49 by 7, we get 7 and a remainder of 0.
The next digit of our result is 7. 
Result so far: 1167.0
If we subtract 49 from 49, we get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 7

Going ahead to step 5:
When dividing 9 by 7, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 11671.0
Subtract 7 from 9 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.

Advancing to step 6:
7 goes into 20 2 times with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 11671.2
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.

Let's proceed to step 7:
If we divide 60 by 7, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 11671.28
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.

On to step 8:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 11671.285
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 11671.2857
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 10:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 11671.28571
Subtract 7 from 10 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 11:
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: 11671.285714
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.

Advancing to step 12:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 11671.2857142
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.

On to step 13:
60 divided by 7 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 11671.28571428
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.

Our division results in 11671.28571428 with a remaining 4e-09.