We look at the division of 903166 by 86 
We're looking to find how many times 86 goes into 903166.

On to step 1:
When dividing 9 by 86, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 86

Going ahead to step 2:
90 divided by 86 is 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 86 away from 90, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 86

Step 3:
86 can be fit into 43 0 times, resulting in a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 86

Let's proceed to step 4:
If we divide 431 by 86, we get 5 and a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 430 away from 431, we end up with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 86

Moving on to step 5:
86 goes into 16 0 times with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 1050.0
Subtract 0 from 16 to get 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 86

Step 6:
When dividing 166 by 86, we get 1 with a remainder of 80.
Write down 1 as next digit of the result. 
Result so far: 10501.0
Subtract 86 from 166 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 7:
The number 86 fits into 800 9 times, leaving a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 10501.9
If we subtract 774 from 800, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
86 can be fit into 260 3 times, resulting in a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 10501.93
If we take 258 away from 260, 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.

Step 9:
20 divided by 86 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 10501.93
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
If we divide 200 by 86, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 10501.9302
Subtract 172 from 200 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
86 goes into 280 3 times with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 10501.93023
Deduct 258 from 280 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 12:
86 goes into 220 2 times with a remainder of 48.
The next digit of our result is 2. 
Result so far: 10501.930232
The remainder is 48 after subtracting 172 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 13:
If we divide 480 by 86, we get 5 and a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 10501.9302325
If we take 430 away from 480, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 14:
When dividing 500 by 86, we get 5 with a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 10501.93023255
Subtracting 430 from 500 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 10501.93023255 and a remainder of 7e-08.