We look at the division of 507661 by 58 
We're looking to find how many times 58 goes into 507661.

Moving on to step 1:
5 divided by 58 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 58

Step 2:
If we divide 50 by 58, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Grab the next digit (7) from the dividend, add it to 50, then carry on: 507 / 58

Step 3:
507 divided by 58 is 8 with a remainder of 43.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 464 from 507 to get 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 58

Advancing to step 4:
If we divide 436 by 58, we get 7 and a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Subtract 406 from 436 to get 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 58

Moving on to step 5:
58 goes into 306 5 times with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 875.0
Deduct 290 from 306 and we're left with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 58

Going ahead to step 6:
If we divide 161 by 58, we get 2 and a remainder of 45.
Use 2 as the next digit of our solution. 
Result so far: 8752.0
Deduct 116 from 161 and we're left 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.

On to step 7:
58 goes into 450 7 times with a remainder of 44.
Write down 7 as next digit of the result. 
Result so far: 8752.7
If we take 406 away from 450, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
58 goes into 440 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 8752.77
If we take 406 away from 440, we end up 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.

Our division results in 8752.77 with a remaining 0.034.