55966 ÷ 31 
We want to figure out the number of times 55966 can be divided by 31.

Going ahead to step 1:
31 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 31

On to step 2:
31 goes into 55 1 times with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 31 from 55 and we're left with 24.
Fetch the next digit (9) from the dividend, attach it to 24 and continue: 249 / 31

On to step 3:
If we divide 249 by 31, we get 8 and a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtracting 248 from 249 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 31

Step 4:
The number 31 fits into 16 0 times, leaving a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 180.0
Subtract 0 from 16 to get 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 31

Advancing to step 5:
When dividing 166 by 31, we get 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 1805.0
Deduct 155 from 166 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
When dividing 110 by 31, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 1805.3
Subtract 93 from 110 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
If we divide 170 by 31, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 1805.35
If we take 155 away from 170, we end up 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.

Moving on to step 8:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 1805.354
Deduct 124 from 150 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
31 can be fit into 260 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1805.3548
If we take 248 away from 260, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
If we divide 120 by 31, we get 3 and a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 1805.35483
Subtracting 93 from 120 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 11:
31 goes into 270 8 times with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 1805.354838
If we take 248 away from 270, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
If we divide 220 by 31, we get 7 and a remainder of 3.
The next digit of our result is 7. 
Result so far: 1805.3548387
If we take 217 away from 220, we end up with 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 13:
30 divided by 31 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1805.3548387
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 1805.3548387, with a leftover of 3e-08.