4536 divided by 61 
We're looking to find how many times 61 goes into 4536.

Step 1:
4 divided by 61 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 61

Step 2:
When dividing 45 by 61, we get 0 with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 45, we end up with 45.
Grab the next digit (3) from the dividend, add it to 45, then carry on: 453 / 61

On to step 3:
When dividing 453 by 61, we get 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 427 from 453 leaves us with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 61

Going ahead to step 4:
If we divide 266 by 61, we get 4 and a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Subtracting 244 from 266 leaves us with 22.
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 5:
61 goes into 220 3 times with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 74.3
If we subtract 183 from 220, we 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.

On to step 6:
If we divide 370 by 61, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 74.36
If we subtract 366 from 370, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 61 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 74.36
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
61 goes into 400 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 74.3606
Subtracting 366 from 400 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
The number 61 fits into 340 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 74.36065
Deduct 305 from 340 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
350 divided by 61 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 74.360655
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 74.360655 and a remainder of 4.5e-06.