We're dividing 646340 by 37 
We want to divide 646340 by 37.

Step 1:
37 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 37

Let's proceed to step 2:
When dividing 64 by 37, we get 1 with a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 37 away from 64, we end up with 27.
Take the next digit (6) from the dividend and append it to 27, then repeat: 276 / 37

Step 3:
37 can be fit into 276 7 times, resulting in a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 259 from 276 to get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 37

Advancing to step 4:
173 divided by 37 is 4 with a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 174.0
Subtracting 148 from 173 leaves us with 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 37

Going ahead to step 5:
254 divided by 37 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 1746.0
If we subtract 222 from 254, we get 32.
Fetch the next digit (0) from the dividend, attach it to 32 and continue: 320 / 37

On to step 6:
When dividing 320 by 37, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 17468.0
Deduct 296 from 320 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
37 can be fit into 240 6 times, resulting in a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 17468.6
Subtract 222 from 240 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
37 can be fit into 180 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 17468.64
Subtract 148 from 180 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 9:
320 divided by 37 is 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 17468.648
Deduct 296 from 320 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
The number 37 fits into 240 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 17468.6486
Subtracting 222 from 240 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
The number 37 fits into 180 4 times, leaving a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 17468.64864
Deduct 148 from 180 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
When dividing 320 by 37, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 17468.648648
Subtracting 296 from 320 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
When dividing 240 by 37, we get 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 17468.6486486
If we take 222 away from 240, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 14:
37 can be fit into 180 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 17468.64864864
If we subtract 148 from 180, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 17468.64864864 with a balance of 3.2e-08.