559509 ÷ 61 
We're looking to find how many times 61 goes into 559509.

Advancing to step 1:
The number 61 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 61

Moving on to step 2:
The number 61 fits into 55 0 times, leaving a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 61

Going ahead to step 3:
If we divide 559 by 61, we get 9 and a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 549 from 559 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 61

Going ahead to step 4:
When dividing 105 by 61, we get 1 with a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 91.0
Deduct 61 from 105 and we're left with 44.
Bring next digit (0) of the dividend behind the 44 and repeat the process: 440 / 61

Moving on to step 5:
If we divide 440 by 61, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 917.0
Subtract 427 from 440 to get 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 61

Step 6:
139 divided by 61 is 2 with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 9172.0
If we take 122 away from 139, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
If we divide 170 by 61, we get 2 and a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 9172.2
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
61 goes into 480 7 times with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 9172.27
If we take 427 away from 480, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 9:
61 can be fit into 530 8 times, resulting in a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 9172.278
Deduct 488 from 530 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 10:
420 divided by 61 is 6 with a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 9172.2786
Deduct 366 from 420 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 11:
If we divide 540 by 61, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 9172.27868
Subtract 488 from 540 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 12:
520 divided by 61 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 9172.278688
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 9172.278688, and the remainder is 3.2e-06.