553539 ÷ 59 
Our goal is to divide 553539 by 59.

Moving on to step 1:
The number 59 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 59

Going ahead to step 2:
59 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 55, we end up with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 59

Advancing to step 3:
If we divide 553 by 59, we get 9 and a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 531 from 553, we get 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 59

Let's proceed to step 4:
When dividing 225 by 59, we get 3 with a remainder of 48.
The next digit of our result is 3. 
Result so far: 93.0
Deduct 177 from 225 and we're left with 48.
Fetch the next digit (3) from the dividend, attach it to 48 and continue: 483 / 59

Advancing to step 5:
If we divide 483 by 59, we get 8 and a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 938.0
The remainder is 11 after subtracting 472 from 483.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 59

Moving on to step 6:
If we divide 119 by 59, we get 2 and a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 9382.0
If we subtract 118 from 119, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 59, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 9382.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 59 fits into 100 1 times, leaving a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 9382.01
The remainder is 41 after subtracting 59 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
The number 59 fits into 410 6 times, leaving a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 9382.016
Subtract 354 from 410 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 10:
59 can be fit into 560 9 times, resulting in a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 9382.0169
Subtracting 531 from 560 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 11:
The number 59 fits into 290 4 times, leaving a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 9382.01694
Subtracting 236 from 290 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 12:
540 divided by 59 is 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 9382.016949
The remainder is 9 after subtracting 531 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
When dividing 90 by 59, we get 1 with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 9382.0169491
Subtract 59 from 90 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 14:
The number 59 fits into 310 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 9382.01694915
Deduct 295 from 310 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 9382.01694915 with a remaining 1.5e-08.