We're dividing 135670 by 7 
Let's see how many times 7 fits into 135670.

On to step 1:
The number 7 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 7

On to step 2:
7 goes into 13 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 7 away from 13, we end up with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Moving on to step 3:
If we divide 65 by 7, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 2 after subtracting 63 from 65.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 7

On to step 4:
7 can be fit into 26 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 193.0
Subtracting 21 from 26 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 7

Step 5:
57 divided by 7 is 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 1938.0
Deduct 56 from 57 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 7

Step 6:
When dividing 10 by 7, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 19381.0
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.

On to step 7:
30 divided by 7 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 19381.4
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.

Step 8:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 19381.42
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 9:
When dividing 60 by 7, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 19381.428
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 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19381.4285
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.

Going ahead to step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 19381.42857
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 12:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 19381.428571
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.

Advancing to step 13:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 19381.4285714
The remainder is 2 after subtracting 28 from 30.
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 14:
20 divided by 7 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 19381.42857142
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.

In conclusion, the division gives 19381.42857142 with a balance of 6e-09.