We look at the division of 137617 by 7 
We want to divide 137617 by 7.

Step 1:
7 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 7

Going ahead to step 2:
The number 7 fits into 13 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 7 from 13 and we're left with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 7

Advancing to step 3:
The number 7 fits into 67 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 19.0
The remainder is 4 after subtracting 63 from 67.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 7

On to step 4:
46 divided by 7 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
If we subtract 42 from 46, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 7

Step 5:
41 divided by 7 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 1965.0
Subtracting 35 from 41 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 7

On to step 6:
The number 7 fits into 67 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 19659.0
Subtracting 63 from 67 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 7:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 19659.5
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.

Moving on to step 8:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 19659.57
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.

On to step 9:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 19659.571
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.

Moving on to step 10:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 19659.5714
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.

Going ahead to step 11:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 19659.57142
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.

Going ahead to step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 19659.571428
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.

Let's proceed to step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19659.5714285
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.

Let's proceed to step 14:
If we divide 50 by 7, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 19659.57142857
If we take 49 away from 50, we end up 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.

The quotient of the division is 19659.57142857, and the remainder is 1e-09.