81830 ÷ 61 
We're looking to find how many times 61 goes into 81830.

On to step 1:
61 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 61

Let's proceed to step 2:
61 can be fit into 81 1 times, resulting in a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 61 from 81, we get 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 61

Moving on to step 3:
208 divided by 61 is 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 183 from 208 and we're left with 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 61

Advancing to step 4:
If we divide 253 by 61, we get 4 and a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 134.0
If we subtract 244 from 253, we get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 61

On to step 5:
61 can be fit into 90 1 times, resulting in a remainder of 29.
The next digit of our result is 1. 
Result so far: 1341.0
If we take 61 away from 90, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 6:
61 goes into 290 4 times with a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 1341.4
Subtract 244 from 290 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 7:
61 goes into 460 7 times with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 1341.47
Subtracting 427 from 460 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
When dividing 330 by 61, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1341.475
If we subtract 305 from 330, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
When dividing 250 by 61, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1341.4754
Subtracting 244 from 250 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
61 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 1341.4754
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 11:
61 goes into 600 9 times with a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 1341.475409
If we take 549 away from 600, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 12:
The number 61 fits into 510 8 times, leaving a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 1341.4754098
The remainder is 22 after subtracting 488 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
61 can be fit into 220 3 times, resulting in a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 1341.47540983
Subtract 183 from 220 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

After the division, we end up with 1341.47540983 and a remainder of 3.7e-08.