Let's divide 43582 by 61
We're looking to find how many times 61 goes into 43582.

Step 1:
When dividing 4 by 61, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 61

Step 2:
When dividing 43 by 61, we get 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 61

On to step 3:
61 goes into 435 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 8 after subtracting 427 from 435.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 61

Moving on to step 4:
When dividing 88 by 61, we get 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 71.0
If we take 61 away from 88, we end up with 27.
Grab the next digit (2) from the dividend, add it to 27, then carry on: 272 / 61

On to step 5:
61 can be fit into 272 4 times, resulting in a remainder of 28.
The next digit of our result is 4. 
Result so far: 714.0
If we take 244 away from 272, we end up 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.

Going ahead to step 6:
The number 61 fits into 280 4 times, leaving a remainder of 36.
The next digit of our result is 4. 
Result so far: 714.4
If we take 244 away from 280, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
61 can be fit into 360 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 714.45
If we take 305 away from 360, we end up 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.

Let's proceed to step 8:
61 goes into 550 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 714.459
If we subtract 549 from 550, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
If we divide 10 by 61, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 714.459
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
61 can be fit into 100 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 714.45901
Subtract 61 from 100 to 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.

On to step 11:
When dividing 390 by 61, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 714.459016
The remainder is 24 after subtracting 366 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
240 divided by 61 is 3 with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 714.4590163
The remainder is 57 after subtracting 183 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 13:
The number 61 fits into 570 9 times, leaving a remainder of 21.
The next digit of our result is 9. 
Result so far: 714.45901639
Subtract 549 from 570 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 714.45901639 with a remaining 2.1e-08.