We divide 75769 by 59
We want to figure out the number of times 75769 can be divided by 59.

On to step 1:
7 divided by 59 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 59

Moving on to step 2:
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: 1.0
If we take 59 away from 75, we end up with 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 59

Let's proceed to step 3:
167 divided by 59 is 2 with a remainder of 49.
The next digit of our result is 2. 
Result so far: 12.0
If we subtract 118 from 167, we get 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 59

Let's proceed to step 4:
The number 59 fits into 496 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 128.0
Deduct 472 from 496 and we're left with 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 59

On to step 5:
When dividing 249 by 59, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 1284.0
If we take 236 away from 249, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 6:
59 goes into 130 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 1284.2
If we subtract 118 from 130, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
59 goes into 120 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1284.22
Subtracting 118 from 120 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.

In conclusion, the division gives 1284.22 with a balance of 0.002.