We look at the division of 501654 by 61 
Our goal is to divide 501654 by 61.

Moving on to step 1:
The number 61 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 61

On to step 2:
If we divide 50 by 61, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Append the next digit (1) from the dividend to 50 and continue with: 501 / 61

Let's proceed to step 3:
When dividing 501 by 61, we get 8 with a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 488 from 501, we get 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 61

Step 4:
When dividing 136 by 61, we get 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
If we subtract 122 from 136, we get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 61

Moving on to step 5:
61 goes into 145 2 times with a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 822.0
Subtracting 122 from 145 leaves us with 23.
Append the next digit (4) from the dividend to 23 and continue with: 234 / 61

On to step 6:
When dividing 234 by 61, we get 3 with a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 8223.0
Subtract 183 from 234 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 7:
When dividing 510 by 61, we get 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 8223.8
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.

On to step 8:
61 can be fit into 220 3 times, resulting in a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 8223.83
If we take 183 away from 220, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 9:
61 goes into 370 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8223.836
The remainder is 4 after subtracting 366 from 370.
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:
If we divide 40 by 61, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8223.836
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
61 goes into 400 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 8223.83606
If we subtract 366 from 400, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
The number 61 fits into 340 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 8223.836065
If we take 305 away from 340, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
The number 61 fits into 350 5 times, leaving a remainder of 45.
The next digit of our result is 5. 
Result so far: 8223.8360655
Deduct 305 from 350 and we're left 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.

The quotient of the division is 8223.8360655, and the remainder is 4.5e-07.