Let's divide 41670 by 7
We want to divide 41670 by 7.

Going ahead to step 1:
4 divided by 7 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

Going ahead to step 2:
7 goes into 41 5 times with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 35 away from 41, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 7

Moving on to step 3:
The number 7 fits into 66 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Deduct 63 from 66 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 7

Moving on to step 4:
37 divided by 7 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 595.0
Deduct 35 from 37 and we're left with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 7

Let's proceed to step 5:
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: 5952.0
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.

Let's proceed to step 6:
When dividing 60 by 7, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5952.8
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.

Going ahead to step 7:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5952.85
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.

Step 8:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 5952.857
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.

Let's proceed to step 9:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 5952.8571
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.

Advancing to step 10:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 5952.85714
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.

Let's proceed to step 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 5952.857142
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 12:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5952.8571428
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.

Advancing to step 13:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5952.85714285
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.

In conclusion, the division gives 5952.85714285 with a balance of 5e-09.