81671 divided by 7 
Our goal is to divide 81671 by 7.

Advancing to step 1:
7 can be fit into 8 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 7 from 8 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 7

Let's proceed to step 2:
7 can be fit into 11 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 4 after subtracting 7 from 11.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 7

On to step 3:
46 divided by 7 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
Deduct 42 from 46 and we're left with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

On to step 4:
47 divided by 7 is 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 1166.0
The remainder is 5 after subtracting 42 from 47.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 7

Advancing to step 5:
7 goes into 51 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 11667.0
Subtracting 49 from 51 leaves us 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.

Advancing to step 6:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 11667.2
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
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: 11667.28
Deduct 56 from 60 and we're left 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 8:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 11667.285
Subtract 35 from 40 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.

Step 9:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 11667.2857
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 10:
When dividing 10 by 7, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 11667.28571
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.

Going ahead to step 11:
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: 11667.285714
Subtracting 28 from 30 leaves us 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.

Let's proceed to step 12:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 11667.2857142
Subtracting 14 from 20 leaves us 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.

Moving on to step 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 11667.28571428
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 11667.28571428 and a remainder of 4e-09.