We look at the division of 783677 by 7 
We're looking to find how many times 7 goes into 783677.

On to step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 7 from 7, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 7

Going ahead to step 2:
If we divide 8 by 7, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 7 from 8 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 7

On to step 3:
If we divide 13 by 7, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
Subtract 7 from 13 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 7

Step 4:
When dividing 66 by 7, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 1119.0
If we take 63 away from 66, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 7

Going ahead to step 5:
The number 7 fits into 37 5 times, leaving a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 11195.0
If we subtract 35 from 37, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 7

On to step 6:
7 can be fit into 27 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 111953.0
If we subtract 21 from 27, we 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.

Going ahead to step 7:
7 goes into 60 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 111953.8
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.

Moving on to step 8:
When dividing 40 by 7, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 111953.85
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.

On to step 9:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 111953.857
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.

On to step 10:
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: 111953.8571
Subtract 7 from 10 to 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.

Going ahead to step 11:
30 divided by 7 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 111953.85714
If we subtract 28 from 30, 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.

Advancing to step 12:
When dividing 20 by 7, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 111953.857142
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.

On to step 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 111953.8571428
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.

Advancing to step 14:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 111953.85714285
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.

After the division, we end up with 111953.85714285 and a remainder of 5e-09.