We look at the division of 414828 by 61 
Let's see how many times 61 fits into 414828.

Let's proceed to step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 61

Let's proceed to step 2:
The number 61 fits into 41 0 times, leaving a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 61

Step 3:
The number 61 fits into 414 6 times, leaving a remainder of 48.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 366 from 414 leaves us with 48.
Bring next digit (8) of the dividend behind the 48 and repeat the process: 488 / 61

Going ahead to step 4:
When dividing 488 by 61, we get 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
Subtracting 488 from 488 leaves us with 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 61

Step 5:
61 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 680.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 61

On to step 6:
The number 61 fits into 28 0 times, leaving a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 6800.0
The remainder is 28 after subtracting 0 from 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
61 can be fit into 280 4 times, resulting in a remainder of 36.
The next digit of our result is 4. 
Result so far: 6800.4
If we subtract 244 from 280, 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.

On to step 8:
The number 61 fits into 360 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 6800.45
Deduct 305 from 360 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
When dividing 550 by 61, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 6800.459
Subtract 549 from 550 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
The number 61 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6800.459
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
If we divide 100 by 61, we get 1 and a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 6800.45901
Deduct 61 from 100 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 12:
61 can be fit into 390 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 6800.459016
Deduct 366 from 390 and we're left 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 13:
The number 61 fits into 240 3 times, leaving a remainder of 57.
The next digit of our result is 3. 
Result so far: 6800.4590163
The remainder is 57 after subtracting 183 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 14:
570 divided by 61 is 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 6800.45901639
If we subtract 549 from 570, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 6800.45901639 with a balance of 2.1e-08.