We look at the division of 127669 by 7 
Let's see how many times 7 fits into 127669.

Advancing to step 1:
1 divided by 7 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 7

Step 2:
7 goes into 12 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 7 away from 12, we end up with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 7

Going ahead to step 3:
57 divided by 7 is 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Deduct 56 from 57 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 7

Going ahead to step 4:
When dividing 16 by 7, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 182.0
Deduct 14 from 16 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 7

Step 5:
If we divide 26 by 7, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 1823.0
Subtract 21 from 26 to get 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 7

Let's proceed to step 6:
7 can be fit into 59 8 times, resulting in a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 18238.0
If we take 56 away from 59, 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.

Going ahead to step 7:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 18238.4
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.

On to step 8:
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: 18238.42
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.

Step 9:
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: 18238.428
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.

Step 10:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 18238.4285
Subtracting 35 from 40 leaves us 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.

Advancing to step 11:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 18238.42857
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.

Moving on to step 12:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 18238.428571
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.

Moving on to step 13:
30 divided by 7 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 18238.4285714
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.

On to step 14:
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: 18238.42857142
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.

The final outcome is 18238.42857142, with a leftover of 6e-09.