We look at the division of 37669 by 31 
Let's see how many times 31 fits into 37669.

Moving on to step 1:
When dividing 3 by 31, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 31

Let's proceed to step 2:
The number 31 fits into 37 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 31 from 37 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 31

Step 3:
When dividing 66 by 31, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 62 from 66 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 31

Moving on to step 4:
46 divided by 31 is 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 121.0
If we take 31 away from 46, we end up with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 31

Advancing to step 5:
31 can be fit into 159 5 times, resulting in a remainder of 4.
The next digit of our result is 5. 
Result so far: 1215.0
Deduct 155 from 159 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 6:
31 goes into 40 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1215.1
The remainder is 9 after subtracting 31 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
90 divided by 31 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 1215.12
The remainder is 28 after subtracting 62 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
31 can be fit into 280 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 1215.129
The remainder is 1 after subtracting 279 from 280.
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 9:
31 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1215.129
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
100 divided by 31 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1215.12903
Deduct 93 from 100 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.

Going ahead to step 11:
When dividing 70 by 31, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1215.129032
If we subtract 62 from 70, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
The number 31 fits into 80 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 1215.1290322
The remainder is 18 after subtracting 62 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 1215.1290322, with a leftover of 1.8e-07.