1031 ÷ 59 
Our goal is to divide 1031 by 59.

Going ahead to step 1:
1 divided by 59 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 59

Moving on to step 2:
When dividing 10 by 59, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 59

Moving on to step 3:
59 can be fit into 103 1 times, resulting in a remainder of 44.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 44 after subtracting 59 from 103.
Bring next digit (1) of the dividend behind the 44 and repeat the process: 441 / 59

Step 4:
441 divided by 59 is 7 with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 413 from 441 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 5:
59 goes into 280 4 times with a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 17.4
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.

Let's proceed to step 6:
440 divided by 59 is 7 with a remainder of 27.
The next digit of our result is 7. 
Result so far: 17.47
If we subtract 413 from 440, we 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.

Step 7:
59 goes into 270 4 times with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 17.474
Subtract 236 from 270 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
340 divided by 59 is 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 17.4745
The remainder is 45 after subtracting 295 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 9:
59 goes into 450 7 times with a remainder of 37.
Write down 7 as next digit of the result. 
Result so far: 17.47457
Subtracting 413 from 450 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 10:
370 divided by 59 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 17.474576
If we take 354 away from 370, we end up 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.

Let's proceed to step 11:
If we divide 160 by 59, we get 2 and a remainder of 42.
Write down 2 as next digit of the result. 
Result so far: 17.4745762
Deduct 118 from 160 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
The number 59 fits into 420 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 17.47457627
Deduct 413 from 420 and we're left 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.

Our division results in 17.47457627 with a remaining 7e-09.