We're dividing 415461 by 61 
We want to divide 415461 by 61.

Let's proceed to step 1:
4 divided by 61 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 61

Moving on to step 2:
61 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 61

Let's proceed to step 3:
If we divide 415 by 61, we get 6 and a remainder of 49.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 366 away from 415, we end up with 49.
Bring next digit (4) of the dividend behind the 49 and repeat the process: 494 / 61

On to step 4:
61 can be fit into 494 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we take 488 away from 494, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 61

Going ahead to step 5:
The number 61 fits into 66 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 681.0
Deduct 61 from 66 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 61

Advancing to step 6:
61 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 6810.0
Deduct 0 from 51 and we're left 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.

On to step 7:
61 can be fit into 510 8 times, resulting in a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 6810.8
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.

Moving on to step 8:
When dividing 220 by 61, we get 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 6810.83
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.

Step 9:
The number 61 fits into 370 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6810.836
Subtracting 366 from 370 leaves us 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:
When dividing 40 by 61, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6810.836
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 11:
400 divided by 61 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 6810.83606
The remainder is 34 after subtracting 366 from 400.
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:
61 can be fit into 340 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6810.836065
Subtract 305 from 340 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 13:
61 goes into 350 5 times with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 6810.8360655
If we subtract 305 from 350, we get 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 6810.8360655 and a remainder of 4.5e-07.