We look at the division of 94186 by 15 
We want to divide 94186 by 15.

Going ahead to step 1:
The number 15 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 15

Step 2:
15 can be fit into 94 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 90 from 94 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 15

On to step 3:
If we divide 41 by 15, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 62.0
Subtracting 30 from 41 leaves us with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 15

On to step 4:
118 divided by 15 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 627.0
If we take 105 away from 118, we end up with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 15

Advancing to step 5:
The number 15 fits into 136 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 6279.0
The remainder is 1 after subtracting 135 from 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6279.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 15, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6279.06
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 6279.066
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 6279.066 with a remaining 0.001.