57919 ÷ 59 
We want to divide 57919 by 59.

On to step 1:
When dividing 5 by 59, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 59

Moving on to step 2:
59 goes into 57 0 times with a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Fetch the next digit (9) from the dividend, attach it to 57 and continue: 579 / 59

Step 3:
If we divide 579 by 59, we get 9 and a remainder of 48.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 531 from 579 to get 48.
Take the next digit (1) from the dividend and append it to 48, then repeat: 481 / 59

Going ahead to step 4:
If we divide 481 by 59, we get 8 and a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 98.0
If we take 472 away from 481, we end up with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 59

Going ahead to step 5:
59 can be fit into 99 1 times, resulting in a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 981.0
Deduct 59 from 99 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.

Moving on to step 6:
The number 59 fits into 400 6 times, leaving a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 981.6
Subtract 354 from 400 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 7:
When dividing 460 by 59, we get 7 with a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 981.67
If we take 413 away from 460, we end up with 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 8:
If we divide 470 by 59, we get 7 and a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 981.677
Subtract 413 from 470 to get 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 outcome is 981.677, with a leftover of 0.0057.