We divide 187661 by 6
We want to figure out the number of times 187661 can be divided by 6.

Going ahead to step 1:
1 divided by 6 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 6

Step 2:
6 can be fit into 18 3 times, resulting in a remainder of 0.
The next digit of our result is 3. 
Result so far: 3.0
If we take 18 away from 18, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Let's proceed to step 3:
If we divide 7 by 6, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we take 6 away from 7, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 6

Step 4:
6 goes into 16 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 312.0
Deduct 12 from 16 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 5:
When dividing 46 by 6, we get 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 3127.0
Subtract 42 from 46 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 6

Step 6:
The number 6 fits into 41 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 31276.0
The remainder is 5 after subtracting 36 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 6, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 31276.8
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 31276.83
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
If we divide 20 by 6, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 31276.833
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 31276.833 and a remainder of 0.0002.