214512 ÷ 37 
We're looking to find how many times 37 goes into 214512.

Step 1:
37 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 37

Step 2:
21 divided by 37 is 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 37

Let's proceed to step 3:
If we divide 214 by 37, we get 5 and a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 185 away from 214, we end up with 29.
Take the next digit (5) from the dividend and append it to 29, then repeat: 295 / 37

Step 4:
When dividing 295 by 37, we get 7 with a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 57.0
If we take 259 away from 295, we end up with 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 37

Step 5:
37 can be fit into 361 9 times, resulting in a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 579.0
Subtract 333 from 361 to get 28.
Take the next digit (2) from the dividend and append it to 28, then repeat: 282 / 37

Moving on to step 6:
The number 37 fits into 282 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 5797.0
Subtracting 259 from 282 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
230 divided by 37 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 5797.6
Subtract 222 from 230 to 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.

Going ahead to step 8:
37 goes into 80 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 5797.62
If we subtract 74 from 80, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 37, we get 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 5797.621
Deduct 37 from 60 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 10:
37 goes into 230 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 5797.6216
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
37 can be fit into 80 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 5797.62162
If we take 74 away from 80, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
If we divide 60 by 37, we get 1 and a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 5797.621621
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 13:
37 can be fit into 230 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 5797.6216216
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
If we divide 80 by 37, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 5797.62162162
If we subtract 74 from 80, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 5797.62162162, and the remainder is 6e-09.