21969 divided by 61 
Let's see how many times 61 fits into 21969.

Let's proceed to step 1:
If we divide 2 by 61, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 61

Going ahead to step 2:
When dividing 21 by 61, we get 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 61

Let's proceed to step 3:
219 divided by 61 is 3 with a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 183 from 219 to get 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 61

On to step 4:
366 divided by 61 is 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Subtracting 366 from 366 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 61

On to step 5:
61 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 360.0
Subtract 0 from 9 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 6:
If we divide 90 by 61, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 360.1
The remainder is 29 after subtracting 61 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
61 can be fit into 290 4 times, resulting in a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 360.14
If we subtract 244 from 290, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
61 can be fit into 460 7 times, resulting in a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 360.147
The remainder is 33 after subtracting 427 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 9:
If we divide 330 by 61, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 360.1475
Deduct 305 from 330 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
When dividing 250 by 61, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 360.14754
The remainder is 6 after subtracting 244 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
The number 61 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 360.14754
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 12:
600 divided by 61 is 9 with a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 360.1475409
Subtracting 549 from 600 leaves us 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.

Let's proceed to step 13:
The number 61 fits into 510 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 360.14754098
Subtract 488 from 510 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 360.14754098 with a balance of 2.2e-08.