We're dividing 369306 by 87 
We want to divide 369306 by 87.

On to step 1:
87 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 87

Moving on to step 2:
If we divide 36 by 87, we get 0 and a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 87

Step 3:
If we divide 369 by 87, we get 4 and a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 21 after subtracting 348 from 369.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 87

On to step 4:
When dividing 213 by 87, we get 2 with a remainder of 39.
The next digit of our result is 2. 
Result so far: 42.0
Subtracting 174 from 213 leaves us with 39.
Take the next digit (0) from the dividend and append it to 39, then repeat: 390 / 87

On to step 5:
The number 87 fits into 390 4 times, leaving a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 424.0
Subtracting 348 from 390 leaves us with 42.
Take the next digit (6) from the dividend and append it to 42, then repeat: 426 / 87

Going ahead to step 6:
87 goes into 426 4 times with a remainder of 78.
Use 4 as the next digit of our solution. 
Result so far: 4244.0
Subtracting 348 from 426 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 7:
87 can be fit into 780 8 times, resulting in a remainder of 84.
Use 8 as the next digit of our solution. 
Result so far: 4244.8
Subtract 696 from 780 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 8:
840 divided by 87 is 9 with a remainder of 57.
Put 9 as the next digit of the answer. 
Result so far: 4244.89
If we take 783 away from 840, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 9:
When dividing 570 by 87, we get 6 with a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 4244.896
Deduct 522 from 570 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 10:
The number 87 fits into 480 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 4244.8965
If we take 435 away from 480, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
450 divided by 87 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 4244.89655
Deduct 435 from 450 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 4244.89655 with a balance of 1.5e-05.