We look at the division of 581030 by 61 
We want to figure out the number of times 581030 can be divided by 61.

On to step 1:
When dividing 5 by 61, we get 0 with 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.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 61

Advancing to step 2:
When dividing 58 by 61, we get 0 with a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 61

Let's proceed to step 3:
61 can be fit into 581 9 times, resulting in a remainder of 32.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 32 after subtracting 549 from 581.
Bring next digit (0) of the dividend behind the 32 and repeat the process: 320 / 61

Advancing to step 4:
61 goes into 320 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtracting 305 from 320 leaves us with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 61

Let's proceed to step 5:
When dividing 153 by 61, we get 2 with a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 952.0
Subtracting 122 from 153 leaves us with 31.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 61

On to step 6:
When dividing 310 by 61, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 9525.0
Subtracting 305 from 310 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 61 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 9525.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
500 divided by 61 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9525.08
Deduct 488 from 500 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
61 goes into 120 1 times with a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 9525.081
The remainder is 59 after subtracting 61 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 10:
When dividing 590 by 61, we get 9 with a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 9525.0819
The remainder is 41 after subtracting 549 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
61 goes into 410 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 9525.08196
Deduct 366 from 410 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
61 can be fit into 440 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 9525.081967
Subtracting 427 from 440 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
130 divided by 61 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 9525.0819672
If we take 122 away from 130, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 61 fits into 80 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 9525.08196721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 9525.08196721 with a remaining 1.9e-08.