409642 ÷ 61 
We want to figure out the number of times 409642 can be divided by 61.

Advancing 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
Subtracting 0 from 4 leaves us with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 61

Advancing to step 2:
If we divide 40 by 61, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Append the next digit (9) from the dividend to 40 and continue with: 409 / 61

Advancing to step 3:
The number 61 fits into 409 6 times, leaving a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 43 after subtracting 366 from 409.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 61

Advancing to step 4:
If we divide 436 by 61, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Subtract 427 from 436 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 61

Advancing to step 5:
61 goes into 94 1 times with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 671.0
Subtract 61 from 94 to get 33.
Fetch the next digit (2) from the dividend, attach it to 33 and continue: 332 / 61

Let's proceed to step 6:
The number 61 fits into 332 5 times, leaving a remainder of 27.
Write down 5 as next digit of the result. 
Result so far: 6715.0
Deduct 305 from 332 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
61 goes into 270 4 times with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 6715.4
Subtracting 244 from 270 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
61 can be fit into 260 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6715.44
If we take 244 away from 260, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 6715.44, and the remainder is 0.016.