221661 ÷ 42 
We're looking to find how many times 42 goes into 221661.

Moving on to step 1:
When dividing 2 by 42, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 42

Going ahead to step 2:
22 divided by 42 is 0 with a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 22 to get 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 42

Step 3:
If we divide 221 by 42, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 210 from 221 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 42

On to step 4:
If we divide 116 by 42, we get 2 and a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtracting 84 from 116 leaves us with 32.
Include the next digit (6) from the dividend after 32, then repeat: 326 / 42

Step 5:
If we divide 326 by 42, we get 7 and a remainder of 32.
The next digit of our result is 7. 
Result so far: 527.0
The remainder is 32 after subtracting 294 from 326.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 42

Advancing to step 6:
If we divide 321 by 42, we get 7 and a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 5277.0
Subtracting 294 from 321 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
The number 42 fits into 270 6 times, leaving a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 5277.6
Subtract 252 from 270 to get 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 8:
42 goes into 180 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 5277.64
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
120 divided by 42 is 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 5277.642
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
When dividing 360 by 42, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 5277.6428
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5277.64285
The remainder is 30 after subtracting 210 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
The number 42 fits into 300 7 times, leaving a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 5277.642857
If we take 294 away from 300, we end up 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.

Advancing to step 13:
When dividing 60 by 42, we get 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 5277.6428571
If we subtract 42 from 60, we get 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 14:
If we divide 180 by 42, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 5277.64285714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 5277.64285714 with a remaining 1.2e-08.