We're dividing 75637 by 59 
We're looking to find how many times 59 goes into 75637.

Let's proceed to step 1:
When dividing 7 by 59, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 59

Moving on to step 2:
The number 59 fits into 75 1 times, leaving a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 59 from 75, we get 16.
Bring next digit (6) of the dividend behind the 16 and repeat the process: 166 / 59

Going ahead to step 3:
When dividing 166 by 59, we get 2 with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 48 after subtracting 118 from 166.
Bring next digit (3) of the dividend behind the 48 and repeat the process: 483 / 59

Advancing to step 4:
59 goes into 483 8 times with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
Deduct 472 from 483 and we're left with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 59

Moving on to step 5:
59 can be fit into 117 1 times, resulting in a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 1281.0
The remainder is 58 after subtracting 59 from 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 6:
When dividing 580 by 59, we get 9 with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 1281.9
Subtracting 531 from 580 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
The number 59 fits into 490 8 times, leaving a remainder of 18.
The next digit of our result is 8. 
Result so far: 1281.98
Subtracting 472 from 490 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
If we divide 180 by 59, we get 3 and a remainder of 3.
The next digit of our result is 3. 
Result so far: 1281.983
Subtract 177 from 180 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
When dividing 30 by 59, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1281.983
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 10:
The number 59 fits into 300 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1281.98305
Subtract 295 from 300 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
50 divided by 59 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 1281.98305
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 12:
When dividing 500 by 59, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 1281.9830508
If we subtract 472 from 500, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
If we divide 280 by 59, we get 4 and a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 1281.98305084
Subtracting 236 from 280 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 1281.98305084 and a remainder of 4.4e-08.