We're dividing 61601130 by 506 
Our goal is to divide 61601130 by 506.

Advancing to step 1:
506 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 506

Moving on to step 2:
The number 506 fits into 61 0 times, leaving a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Fetch the next digit (6) from the dividend, attach it to 61 and continue: 616 / 506

Moving on to step 3:
If we divide 616 by 506, we get 1 and a remainder of 110.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 506 away from 616, we end up with 110.
Bring next digit (0) of the dividend behind the 110 and repeat the process: 1100 / 506

Going ahead to step 4:
The number 506 fits into 1100 2 times, leaving a remainder of 88.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 1012 away from 1100, we end up with 88.
Bring next digit (1) of the dividend behind the 88 and repeat the process: 881 / 506

On to step 5:
506 can be fit into 881 1 times, resulting in a remainder of 375.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
If we take 506 away from 881, we end up with 375.
Append the next digit (1) from the dividend to 375 and continue with: 3751 / 506

Let's proceed to step 6:
506 can be fit into 3751 7 times, resulting in a remainder of 209.
Write down 7 as next digit of the result. 
Result so far: 1217.0
Subtracting 3542 from 3751 leaves us with 209.
Grab the next digit (3) from the dividend, add it to 209, then carry on: 2093 / 506

On to step 7:
When dividing 2093 by 506, we get 4 with a remainder of 69.
Record the quotient 4 as the next digit in the result. 
Result so far: 12174.0
Subtract 2024 from 2093 to get 69.
Grab the next digit (0) from the dividend, add it to 69, then carry on: 690 / 506

On to step 8:
506 can be fit into 690 1 times, resulting in a remainder of 184.
Use 1 as the next digit of our solution. 
Result so far: 121741.0
If we take 506 away from 690, we end up with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Step 9:
506 can be fit into 1840 3 times, resulting in a remainder of 322.
Record the quotient 3 as the next digit in the result. 
Result so far: 121741.3
Deduct 1518 from 1840 and we're left with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Let's proceed to step 10:
506 goes into 3220 6 times with a remainder of 184.
The next digit of our result is 6. 
Result so far: 121741.36
Subtracting 3036 from 3220 leaves us with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Step 11:
506 can be fit into 1840 3 times, resulting in a remainder of 322.
The next digit of our result is 3. 
Result so far: 121741.363
If we take 1518 away from 1840, we end up with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Let's proceed to step 12:
If we divide 3220 by 506, we get 6 and a remainder of 184.
Use 6 as the next digit of our solution. 
Result so far: 121741.3636
If we take 3036 away from 3220, we end up with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Advancing to step 13:
The number 506 fits into 1840 3 times, leaving a remainder of 322.
Put 3 as the next digit of the answer. 
Result so far: 121741.36363
If we take 1518 away from 1840, we end up with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Going ahead to step 14:
506 goes into 3220 6 times with a remainder of 184.
The number 6 becomes the next digit in our result. 
Result so far: 121741.363636
The remainder is 184 after subtracting 3036 from 3220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Moving on to step 15:
506 goes into 1840 3 times with a remainder of 322.
Use 3 as the next digit of our solution. 
Result so far: 121741.3636363
The remainder is 322 after subtracting 1518 from 1840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Going ahead to step 16:
When dividing 3220 by 506, we get 6 with a remainder of 184.
The number 6 becomes the next digit in our result. 
Result so far: 121741.36363636
Deduct 3036 from 3220 and we're left with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

In conclusion, the division gives 121741.36363636 with a balance of 1.84e-07.