7887665 ÷ 686 
Our goal is to divide 7887665 by 686.

Advancing to step 1:
The number 686 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 686

Moving on to step 2:
686 can be fit into 78 0 times, resulting in a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 78 to get 78.
Fetch the next digit (8) from the dividend, attach it to 78 and continue: 788 / 686

Step 3:
When dividing 788 by 686, we get 1 with a remainder of 102.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 686 from 788 leaves us with 102.
Grab the next digit (7) from the dividend, add it to 102, then carry on: 1027 / 686

Advancing to step 4:
686 can be fit into 1027 1 times, resulting in a remainder of 341.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 341 after subtracting 686 from 1027.
Fetch the next digit (6) from the dividend, attach it to 341 and continue: 3416 / 686

Moving on to step 5:
The number 686 fits into 3416 4 times, leaving a remainder of 672.
Write down 4 as next digit of the result. 
Result so far: 114.0
Subtracting 2744 from 3416 leaves us with 672.
Take the next digit (6) from the dividend and append it to 672, then repeat: 6726 / 686

Moving on to step 6:
When dividing 6726 by 686, we get 9 with a remainder of 552.
Record the quotient 9 as the next digit in the result. 
Result so far: 1149.0
The remainder is 552 after subtracting 6174 from 6726.
Include the next digit (5) from the dividend after 552, then repeat: 5525 / 686

Advancing to step 7:
686 goes into 5525 8 times with a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 11498.0
Deduct 5488 from 5525 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
The number 686 fits into 370 0 times, leaving a remainder of 370.
Put 0 as the next digit of the answer. 
Result so far: 11498.0
If we subtract 0 from 370, we get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Advancing to step 9:
When dividing 3700 by 686, we get 5 with a remainder of 270.
Use 5 as the next digit of our solution. 
Result so far: 11498.05
If we take 3430 away from 3700, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Moving on to step 10:
686 goes into 2700 3 times with a remainder of 642.
Write down 3 as next digit of the result. 
Result so far: 11498.053
Subtracting 2058 from 2700 leaves us with 642.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Going ahead to step 11:
686 can be fit into 6420 9 times, resulting in a remainder of 246.
Write down 9 as next digit of the result. 
Result so far: 11498.0539
If we subtract 6174 from 6420, we get 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Step 12:
If we divide 2460 by 686, we get 3 and a remainder of 402.
The number 3 becomes the next digit in our result. 
Result so far: 11498.05393
If we take 2058 away from 2460, we end up with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Step 13:
686 can be fit into 4020 5 times, resulting in a remainder of 590.
Write down 5 as next digit of the result. 
Result so far: 11498.053935
Subtract 3430 from 4020 to get 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Advancing to step 14:
When dividing 5900 by 686, we get 8 with a remainder of 412.
Use 8 as the next digit of our solution. 
Result so far: 11498.0539358
If we take 5488 away from 5900, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Step 15:
4120 divided by 686 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 11498.05393586
Subtracting 4116 from 4120 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.

The final outcome is 11498.05393586, with a leftover of 4e-09.