221664 ÷ 61 
We're looking to find how many times 61 goes into 221664.

Going ahead to step 1:
61 can be fit into 2 0 times, resulting in 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.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 61

Step 2:
When dividing 22 by 61, we get 0 with a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 22 and we're left with 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 61

Going ahead to step 3:
If we divide 221 by 61, we get 3 and a remainder of 38.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 38 after subtracting 183 from 221.
Append the next digit (6) from the dividend to 38 and continue with: 386 / 61

On to step 4:
When dividing 386 by 61, we get 6 with a remainder of 20.
The next digit of our result is 6. 
Result so far: 36.0
If we subtract 366 from 386, we get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 61

Going ahead to step 5:
206 divided by 61 is 3 with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 363.0
Deduct 183 from 206 and we're left with 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 61

Advancing to step 6:
61 can be fit into 234 3 times, resulting in a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 3633.0
If we subtract 183 from 234, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 7:
510 divided by 61 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 3633.8
Deduct 488 from 510 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
220 divided by 61 is 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 3633.83
The remainder is 37 after subtracting 183 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 9:
61 can be fit into 370 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 3633.836
Deduct 366 from 370 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
If we divide 40 by 61, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 3633.836
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
When dividing 400 by 61, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 3633.83606
If we take 366 away from 400, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 12:
When dividing 340 by 61, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 3633.836065
Deduct 305 from 340 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 13:
61 goes into 350 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 3633.8360655
Subtracting 305 from 350 leaves us 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.

After the division, we end up with 3633.8360655 and a remainder of 4.5e-07.