We're dividing 263142 by 59 
We want to figure out the number of times 263142 can be divided by 59.

Let's proceed to step 1:
59 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 59

Advancing to step 2:
59 goes into 26 0 times with a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 59

Going ahead to step 3:
263 divided by 59 is 4 with a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 236 from 263, we get 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 59

Going ahead to step 4:
If we divide 271 by 59, we get 4 and a remainder of 35.
The next digit of our result is 4. 
Result so far: 44.0
Subtract 236 from 271 to get 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 59

On to step 5:
59 can be fit into 354 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 446.0
Subtracting 354 from 354 leaves us with 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 59

Step 6:
When dividing 2 by 59, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 4460.0
Subtracting 0 from 2 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
59 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4460.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 59, we get 3 and a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 4460.03
The remainder is 23 after subtracting 177 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 9:
59 goes into 230 3 times with a remainder of 53.
The next digit of our result is 3. 
Result so far: 4460.033
If we subtract 177 from 230, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final result is 4460.033 with a remainder of 0.0053.