We're dividing 59176 by 15 
Our goal is to divide 59176 by 15.

Moving on to step 1:
When dividing 5 by 15, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 15

Step 2:
If we divide 59 by 15, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 45 from 59 and we're left with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 15

Let's proceed to step 3:
15 goes into 141 9 times with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Subtract 135 from 141 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 15

Step 4:
15 goes into 67 4 times with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 394.0
If we subtract 60 from 67, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 15

Advancing to step 5:
15 can be fit into 76 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 3945.0
Subtract 75 from 76 to get 1.
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:
If we divide 10 by 15, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3945.0
Subtract 0 from 10 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.

Step 7:
15 goes into 100 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 3945.06
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.

Let's proceed to step 8:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 3945.066
Deduct 90 from 100 and we're left 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.

The final outcome is 3945.066, with a leftover of 0.001.