513123 divided by 61 
Let's see how many times 61 fits into 513123.

Advancing to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 61

Step 2:
If we divide 51 by 61, we get 0 and a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 61

Advancing to step 3:
513 divided by 61 is 8 with a remainder of 25.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 488 from 513 and we're left with 25.
Take the next digit (1) from the dividend and append it to 25, then repeat: 251 / 61

On to step 4:
251 divided by 61 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we take 244 away from 251, we end up with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 61

Moving on to step 5:
If we divide 72 by 61, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 841.0
Subtracting 61 from 72 leaves us with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 61

On to step 6:
The number 61 fits into 113 1 times, leaving a remainder of 52.
Use 1 as the next digit of our solution. 
Result so far: 8411.0
If we subtract 61 from 113, we 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 7:
When dividing 520 by 61, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8411.8
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
61 goes into 320 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 8411.85
Subtracting 305 from 320 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
61 can be fit into 150 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 8411.852
Subtracting 122 from 150 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 10:
If we divide 280 by 61, we get 4 and a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 8411.8524
The remainder is 36 after subtracting 244 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
If we divide 360 by 61, we get 5 and a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 8411.85245
Deduct 305 from 360 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 12:
The number 61 fits into 550 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8411.852459
The remainder is 1 after subtracting 549 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
The number 61 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8411.852459
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
If we divide 100 by 61, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 8411.85245901
If we subtract 61 from 100, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 8411.85245901 with a remainder of 3.9e-08.