366424 ÷ 87 
We're looking to find how many times 87 goes into 366424.

Going ahead to step 1:
When dividing 3 by 87, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 87

Step 2:
When dividing 36 by 87, we get 0 with a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 36, we get 36.
Append the next digit (6) from the dividend to 36 and continue with: 366 / 87

Step 3:
87 goes into 366 4 times with a remainder of 18.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 18 after subtracting 348 from 366.
Bring next digit (4) of the dividend behind the 18 and repeat the process: 184 / 87

Advancing to step 4:
The number 87 fits into 184 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Deduct 174 from 184 and we're left with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 87

Let's proceed to step 5:
87 goes into 102 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 421.0
The remainder is 15 after subtracting 87 from 102.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 87

On to step 6:
87 can be fit into 154 1 times, resulting in a remainder of 67.
Write down 1 as next digit of the result. 
Result so far: 4211.0
Deduct 87 from 154 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 7:
670 divided by 87 is 7 with a remainder of 61.
Put 7 as the next digit of the answer. 
Result so far: 4211.7
Subtract 609 from 670 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 8:
The number 87 fits into 610 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 4211.77
If we take 609 away from 610, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 4211.77 and a remainder of 0.001.