Let's divide 45344 by 61
We want to figure out the number of times 45344 can be divided by 61.

Step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 61

Let's proceed to step 2:
If we divide 45 by 61, we get 0 and a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Grab the next digit (3) from the dividend, add it to 45, then carry on: 453 / 61

Step 3:
If we divide 453 by 61, we get 7 and a remainder of 26.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 427 from 453 and we're left with 26.
Bring next digit (4) of the dividend behind the 26 and repeat the process: 264 / 61

On to step 4:
The number 61 fits into 264 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 74.0
Subtracting 244 from 264 leaves us with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 61

Let's proceed to step 5:
61 can be fit into 204 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 743.0
If we subtract 183 from 204, we 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.

Moving on to step 6:
If we divide 210 by 61, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 743.3
Subtract 183 from 210 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
When dividing 270 by 61, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 743.34
Subtracting 244 from 270 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
When dividing 260 by 61, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 743.344
Subtract 244 from 260 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 743.344, and the remainder is 0.0016.