We divide 461384 by 59
We want to figure out the number of times 461384 can be divided by 59.

On to step 1:
If we divide 4 by 59, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 59

Advancing to step 2:
If we divide 46 by 59, we get 0 and a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Fetch the next digit (1) from the dividend, attach it to 46 and continue: 461 / 59

Step 3:
59 can be fit into 461 7 times, resulting in a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 48 after subtracting 413 from 461.
Fetch the next digit (3) from the dividend, attach it to 48 and continue: 483 / 59

Moving on to step 4:
59 can be fit into 483 8 times, resulting in a remainder of 11.
The next digit of our result is 8. 
Result so far: 78.0
Subtract 472 from 483 to get 11.
Include the next digit (8) from the dividend after 11, then repeat: 118 / 59

Let's proceed to step 5:
The number 59 fits into 118 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 782.0
If we take 118 away from 118, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 59

Going ahead to step 6:
The number 59 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 7820.0
Deduct 0 from 4 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
59 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7820.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
59 goes into 400 6 times with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 7820.06
Subtracting 354 from 400 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 9:
When dividing 460 by 59, we get 7 with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 7820.067
Subtract 413 from 460 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 10:
59 can be fit into 470 7 times, resulting in a remainder of 57.
Record the quotient 7 as the next digit in the result. 
Result so far: 7820.0677
Subtracting 413 from 470 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final result is 7820.0677 with a remainder of 0.00057.