153666 ÷ 87 
Our goal is to divide 153666 by 87.

Let's proceed to step 1:
If we divide 1 by 87, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 87

Going ahead to step 2:
When dividing 15 by 87, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 87

Step 3:
87 goes into 153 1 times with a remainder of 66.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 87 from 153 to get 66.
Take the next digit (6) from the dividend and append it to 66, then repeat: 666 / 87

On to step 4:
87 goes into 666 7 times with a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 609 from 666 to get 57.
Fetch the next digit (6) from the dividend, attach it to 57 and continue: 576 / 87

Let's proceed to step 5:
87 can be fit into 576 6 times, resulting in a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 176.0
The remainder is 54 after subtracting 522 from 576.
Append the next digit (6) from the dividend to 54 and continue with: 546 / 87

Step 6:
87 goes into 546 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 1766.0
Subtracting 522 from 546 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
87 goes into 240 2 times with a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 1766.2
The remainder is 66 after subtracting 174 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
87 can be fit into 660 7 times, resulting in a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 1766.27
Deduct 609 from 660 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 9:
510 divided by 87 is 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 1766.275
Subtracting 435 from 510 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 10:
750 divided by 87 is 8 with a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 1766.2758
Subtract 696 from 750 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 11:
The number 87 fits into 540 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 1766.27586
Subtracting 522 from 540 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
87 goes into 180 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 1766.275862
Deduct 174 from 180 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
87 can be fit into 60 0 times, resulting in a remainder of 60.
The next digit of our result is 0. 
Result so far: 1766.275862
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 14:
87 goes into 600 6 times with a remainder of 78.
Use 6 as the next digit of our solution. 
Result so far: 1766.27586206
Subtract 522 from 600 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The final result is 1766.27586206 with a remainder of 7.8e-08.