We're dividing 61707860 by 509 
We're looking to find how many times 509 goes into 61707860.

Step 1:
If we divide 6 by 509, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 509

Step 2:
509 goes into 61 0 times with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 61 and we're left with 61.
Bring next digit (7) of the dividend behind the 61 and repeat the process: 617 / 509

Moving on to step 3:
509 can be fit into 617 1 times, resulting in a remainder of 108.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 509 from 617 leaves us with 108.
Take the next digit (0) from the dividend and append it to 108, then repeat: 1080 / 509

Advancing to step 4:
The number 509 fits into 1080 2 times, leaving a remainder of 62.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 62 after subtracting 1018 from 1080.
Take the next digit (7) from the dividend and append it to 62, then repeat: 627 / 509

Going ahead to step 5:
When dividing 627 by 509, we get 1 with a remainder of 118.
The next digit of our result is 1. 
Result so far: 121.0
The remainder is 118 after subtracting 509 from 627.
Grab the next digit (8) from the dividend, add it to 118, then carry on: 1188 / 509

Let's proceed to step 6:
If we divide 1188 by 509, we get 2 and a remainder of 170.
The number 2 becomes the next digit in our result. 
Result so far: 1212.0
If we subtract 1018 from 1188, we get 170.
Grab the next digit (6) from the dividend, add it to 170, then carry on: 1706 / 509

Moving on to step 7:
If we divide 1706 by 509, we get 3 and a remainder of 179.
Record the quotient 3 as the next digit in the result. 
Result so far: 12123.0
Subtracting 1527 from 1706 leaves us with 179.
Bring next digit (0) of the dividend behind the 179 and repeat the process: 1790 / 509

Moving on to step 8:
When dividing 1790 by 509, we get 3 with a remainder of 263.
Use 3 as the next digit of our solution. 
Result so far: 121233.0
If we take 1527 away from 1790, we end up with 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Going ahead to step 9:
509 can be fit into 2630 5 times, resulting in a remainder of 85.
Write down 5 as next digit of the result. 
Result so far: 121233.5
Subtracting 2545 from 2630 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 10:
509 goes into 850 1 times with a remainder of 341.
Write down 1 as next digit of the result. 
Result so far: 121233.51
If we subtract 509 from 850, we get 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Moving on to step 11:
509 can be fit into 3410 6 times, resulting in a remainder of 356.
Record the quotient 6 as the next digit in the result. 
Result so far: 121233.516
If we subtract 3054 from 3410, we get 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Going ahead to step 12:
If we divide 3560 by 509, we get 6 and a remainder of 506.
Use 6 as the next digit of our solution. 
Result so far: 121233.5166
If we take 3054 away from 3560, we end up with 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

In conclusion, the division gives 121233.5166 with a balance of 0.00506.