311098 ÷ 59 
Our goal is to divide 311098 by 59.

Advancing to step 1:
When dividing 3 by 59, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 59

Moving on to step 2:
31 divided by 59 is 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 59

On to step 3:
59 goes into 311 5 times with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 295 from 311, we get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 59

Let's proceed to step 4:
160 divided by 59 is 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 52.0
If we subtract 118 from 160, we get 42.
Grab the next digit (9) from the dividend, add it to 42, then carry on: 429 / 59

Moving on to step 5:
59 can be fit into 429 7 times, resulting in a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 527.0
The remainder is 16 after subtracting 413 from 429.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 59

On to step 6:
168 divided by 59 is 2 with a remainder of 50.
The number 2 becomes the next digit in our result. 
Result so far: 5272.0
Deduct 118 from 168 and we're left 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.

Step 7:
59 goes into 500 8 times with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 5272.8
The remainder is 28 after subtracting 472 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
If we divide 280 by 59, we get 4 and a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 5272.84
If we subtract 236 from 280, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
The number 59 fits into 440 7 times, leaving a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 5272.847
Subtract 413 from 440 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
59 can be fit into 270 4 times, resulting in a remainder of 34.
The next digit of our result is 4. 
Result so far: 5272.8474
Deduct 236 from 270 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
59 can be fit into 340 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 5272.84745
Deduct 295 from 340 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 12:
When dividing 450 by 59, we get 7 with a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 5272.847457
The remainder is 37 after subtracting 413 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 13:
370 divided by 59 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 5272.8474576
Subtract 354 from 370 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
160 divided by 59 is 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 5272.84745762
The remainder is 42 after subtracting 118 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 5272.84745762, and the remainder is 4.2e-08.