We're dividing 87406 by 6 
We want to figure out the number of times 87406 can be divided by 6.

Let's proceed to step 1:
The number 6 fits into 8 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 6 from 8, we get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

On to step 2:
6 can be fit into 27 4 times, resulting in a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 24 from 27 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Let's proceed to step 3:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 145.0
Subtracting 30 from 34 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 6

Moving on to step 4:
6 goes into 40 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1456.0
The remainder is 4 after subtracting 36 from 40.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 6

Step 5:
6 goes into 46 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 14567.0
If we take 42 away from 46, we end up 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.

Advancing to step 6:
6 goes into 40 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 14567.6
If we take 36 away from 40, we end up 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.

Advancing to step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 14567.66
If we subtract 36 from 40, 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.

The quotient of the division is 14567.66, and the remainder is 0.004.