We divide 259675 by 59
We want to figure out the number of times 259675 can be divided by 59.

Let's proceed to step 1:
When dividing 2 by 59, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 59

Going ahead to step 2:
The number 59 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 59

Let's proceed to step 3:
If we divide 259 by 59, we get 4 and a remainder of 23.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 236 from 259 to get 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 59

Moving on to step 4:
The number 59 fits into 236 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 44.0
Subtracting 236 from 236 leaves us with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 59

Moving on to step 5:
7 divided by 59 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 440.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 59

Let's proceed to step 6:
When dividing 75 by 59, we get 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 4401.0
Deduct 59 from 75 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
When dividing 160 by 59, we get 2 with a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 4401.2
If we subtract 118 from 160, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
If we divide 420 by 59, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 4401.27
If we take 413 away from 420, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
The number 59 fits into 70 1 times, leaving a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 4401.271
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 10:
When dividing 110 by 59, we get 1 with a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 4401.2711
If we take 59 away from 110, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 4401.2711 with a balance of 0.00051.