We look at the division of 384461 by 59 
We want to divide 384461 by 59.

Advancing to step 1:
When dividing 3 by 59, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 59

On to step 2:
38 divided by 59 is 0 with a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Bring next digit (4) of the dividend behind the 38 and repeat the process: 384 / 59

Moving on to step 3:
59 can be fit into 384 6 times, resulting in a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 354 from 384 and we're left with 30.
Append the next digit (4) from the dividend to 30 and continue with: 304 / 59

On to step 4:
The number 59 fits into 304 5 times, leaving a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
Deduct 295 from 304 and we're left with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 59

Going ahead to step 5:
If we divide 96 by 59, we get 1 and a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 651.0
Subtract 59 from 96 to get 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 59

Let's proceed to step 6:
When dividing 371 by 59, we get 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 6516.0
Deduct 354 from 371 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
If we divide 170 by 59, we get 2 and a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 6516.2
If we subtract 118 from 170, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
59 goes into 520 8 times with a remainder of 48.
The next digit of our result is 8. 
Result so far: 6516.28
Deduct 472 from 520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
When dividing 480 by 59, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 6516.288
Subtracting 472 from 480 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 6516.288, and the remainder is 0.0008.