542301 ÷ 59 
Let's see how many times 59 fits into 542301.

On to step 1:
When dividing 5 by 59, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 59

Moving on to step 2:
The number 59 fits into 54 0 times, leaving a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Fetch the next digit (2) from the dividend, attach it to 54 and continue: 542 / 59

Going ahead to step 3:
542 divided by 59 is 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 531 from 542 to get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 59

Advancing to step 4:
When dividing 113 by 59, we get 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 91.0
Subtracting 59 from 113 leaves us with 54.
Grab the next digit (0) from the dividend, add it to 54, then carry on: 540 / 59

On to step 5:
59 goes into 540 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 919.0
If we subtract 531 from 540, we get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 59

Let's proceed to step 6:
When dividing 91 by 59, we get 1 with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 9191.0
If we take 59 away from 91, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
When dividing 320 by 59, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 9191.5
If we subtract 295 from 320, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
59 can be fit into 250 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 9191.54
If we subtract 236 from 250, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
When dividing 140 by 59, we get 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 9191.542
If we take 118 away from 140, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 10:
The number 59 fits into 220 3 times, leaving a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 9191.5423
If we take 177 away from 220, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 11:
The number 59 fits into 430 7 times, leaving a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 9191.54237
If we take 413 away from 430, we end up 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 12:
The number 59 fits into 170 2 times, leaving a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 9191.542372
Subtract 118 from 170 to 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.

On to step 13:
When dividing 520 by 59, we get 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 9191.5423728
If we take 472 away from 520, we end up 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 14:
59 goes into 480 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9191.54237288
The remainder is 8 after subtracting 472 from 480.
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 9191.54237288, and the remainder is 8e-09.