Let's divide 671659 by 7
We want to divide 671659 by 7.

Step 1:
If we divide 6 by 7, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 7

On to step 2:
7 goes into 67 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 63 from 67 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

On to step 3:
41 divided by 7 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 95.0
Deduct 35 from 41 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 7

Moving on to step 4:
When dividing 66 by 7, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 959.0
The remainder is 3 after subtracting 63 from 66.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 7

On to step 5:
If we divide 35 by 7, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 9595.0
Deduct 35 from 35 and we're left with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 7

Let's proceed to step 6:
7 goes into 9 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 95951.0
If we subtract 7 from 9, we 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.

On to step 7:
When dividing 20 by 7, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 95951.2
If we take 14 away from 20, we end up 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 8:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 95951.28
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.

Moving on to step 9:
If we divide 40 by 7, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 95951.285
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.

Moving on to step 10:
7 goes into 50 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 95951.2857
Subtracting 49 from 50 leaves us 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.

Let's proceed to step 11:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 95951.28571
If we subtract 7 from 10, we 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 12:
If we divide 30 by 7, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 95951.285714
Deduct 28 from 30 and we're left 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.

Step 13:
7 goes into 20 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 95951.2857142
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 14:
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: 95951.28571428
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.

In conclusion, the division gives 95951.28571428 with a balance of 4e-09.