214332 divided by 37 
Our goal is to divide 214332 by 37.

Advancing to step 1:
If we divide 2 by 37, we get 0 and a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 37

Let's proceed to step 2:
37 can be fit into 21 0 times, resulting in a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 37

Let's proceed to step 3:
When dividing 214 by 37, we get 5 with a remainder of 29.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 29 after subtracting 185 from 214.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 37

Step 4:
The number 37 fits into 293 7 times, leaving a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 57.0
If we take 259 away from 293, we end up with 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 37

Moving on to step 5:
When dividing 343 by 37, we get 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 579.0
The remainder is 10 after subtracting 333 from 343.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 37

Moving on to step 6:
102 divided by 37 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 5792.0
If we take 74 away from 102, we end up 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.

Going ahead to step 7:
280 divided by 37 is 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 5792.7
Subtract 259 from 280 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
If we divide 210 by 37, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5792.75
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
37 goes into 250 6 times with a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 5792.756
Subtract 222 from 250 to get 28.
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 10:
280 divided by 37 is 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 5792.7567
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
If we divide 210 by 37, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 5792.75675
Subtract 185 from 210 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 12:
37 goes into 250 6 times with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 5792.756756
Subtracting 222 from 250 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.

Moving on to step 13:
When dividing 280 by 37, we get 7 with a remainder of 21.
The next digit of our result is 7. 
Result so far: 5792.7567567
Subtract 259 from 280 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 14:
37 goes into 210 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 5792.75675675
Deduct 185 from 210 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 5792.75675675 with a balance of 2.5e-08.