Let's divide 418566 by 61
Our goal is to divide 418566 by 61.

Step 1:
61 goes into 4 0 times 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.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 61

Let's proceed to step 2:
41 divided by 61 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 61

Advancing to step 3:
61 can be fit into 418 6 times, resulting in a remainder of 52.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 366 from 418, we get 52.
Bring next digit (5) of the dividend behind the 52 and repeat the process: 525 / 61

Let's proceed to step 4:
The number 61 fits into 525 8 times, leaving a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 68.0
Subtract 488 from 525 to get 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 61

Moving on to step 5:
When dividing 376 by 61, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 686.0
If we take 366 away from 376, we end up with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 61

Let's proceed to step 6:
106 divided by 61 is 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 6861.0
If we take 61 away from 106, we end up 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.

Moving on to step 7:
61 goes into 450 7 times with a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 6861.7
If we subtract 427 from 450, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
When dividing 230 by 61, we get 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 6861.73
If we subtract 183 from 230, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 9:
470 divided by 61 is 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 6861.737
The remainder is 43 after subtracting 427 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 10:
If we divide 430 by 61, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 6861.7377
If we subtract 427 from 430, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 6861.7377 with a balance of 3e-05.