687353 divided by 6 
We want to figure out the number of times 687353 can be divided by 6.

Moving on to step 1:
6 can be fit into 6 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 6 from 6 and we're left with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 6

Step 2:
6 goes into 8 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 6 from 8, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 6

On to step 3:
When dividing 27 by 6, we get 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 114.0
The remainder is 3 after subtracting 24 from 27.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 6

Advancing to step 4:
When dividing 33 by 6, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 1145.0
If we subtract 30 from 33, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 6

Advancing to step 5:
6 goes into 35 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 11455.0
Subtracting 30 from 35 leaves us with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 6

Step 6:
When dividing 53 by 6, we get 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 114558.0
The remainder is 5 after subtracting 48 from 53.
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 7:
The number 6 fits into 50 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 114558.8
Subtracting 48 from 50 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.

Advancing to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 114558.83
If we subtract 18 from 20, 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.

Let's proceed to step 9:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 114558.833
If we take 18 away from 20, 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.

The quotient of the division is 114558.833, and the remainder is 0.0002.