61576 ÷ 59 
We're looking to find how many times 59 goes into 61576.

Step 1:
59 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 59

Moving on to step 2:
When dividing 61 by 59, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 59 from 61, we get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 59

On to step 3:
When dividing 25 by 59, we get 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 25 leaves us with 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 59

Advancing to step 4:
257 divided by 59 is 4 with a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
If we take 236 away from 257, we end up with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 59

On to step 5:
59 goes into 216 3 times with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 1043.0
If we subtract 177 from 216, we 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.

Step 6:
When dividing 390 by 59, we get 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 1043.6
Deduct 354 from 390 and we're left 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.

Moving on to step 7:
If we divide 360 by 59, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 1043.66
If we take 354 away from 360, we end up 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.

Our division results in 1043.66 with a remaining 0.006.