We're dividing 676314 by 37 
We want to figure out the number of times 676314 can be divided by 37.

On to step 1:
The number 37 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 37

Moving on to step 2:
When dividing 67 by 37, we get 1 with a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 37 away from 67, we end up with 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 37

Moving on to step 3:
37 goes into 306 8 times with a remainder of 10.
The next digit of our result is 8. 
Result so far: 18.0
Subtracting 296 from 306 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 37

Step 4:
103 divided by 37 is 2 with a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 182.0
If we take 74 away from 103, we end up with 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 37

Let's proceed to step 5:
37 goes into 291 7 times with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 1827.0
Deduct 259 from 291 and we're left with 32.
Grab the next digit (4) from the dividend, add it to 32, then carry on: 324 / 37

Step 6:
324 divided by 37 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 18278.0
If we take 296 away from 324, 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.

Step 7:
37 can be fit into 280 7 times, resulting in a remainder of 21.
The next digit of our result is 7. 
Result so far: 18278.7
If we take 259 away from 280, we end up 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.

Moving on to step 8:
The number 37 fits into 210 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 18278.75
If we subtract 185 from 210, we 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.

Moving on to step 9:
If we divide 250 by 37, we get 6 and a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 18278.756
The remainder is 28 after subtracting 222 from 250.
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:
37 goes into 280 7 times with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 18278.7567
The remainder is 21 after subtracting 259 from 280.
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:
The number 37 fits into 210 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 18278.75675
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.

Moving on to step 12:
37 can be fit into 250 6 times, resulting in a remainder of 28.
The next digit of our result is 6. 
Result so far: 18278.756756
If we take 222 away from 250, 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 13:
The number 37 fits into 280 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 18278.7567567
If we take 259 away from 280, we end up 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.

Step 14:
When dividing 210 by 37, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 18278.75675675
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.

In conclusion, the division gives 18278.75675675 with a balance of 2.5e-08.