We're dividing 713421 by 37 
We want to figure out the number of times 713421 can be divided by 37.

Advancing to step 1:
37 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 37

Moving on to step 2:
If we divide 71 by 37, we get 1 and a remainder of 34.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 34 after subtracting 37 from 71.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 37

On to step 3:
37 can be fit into 343 9 times, resulting in a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Deduct 333 from 343 and we're left with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 37

On to step 4:
37 goes into 104 2 times with a remainder of 30.
The next digit of our result is 2. 
Result so far: 192.0
If we subtract 74 from 104, we get 30.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 37

On to step 5:
37 goes into 302 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 1928.0
Subtract 296 from 302 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 37

Going ahead to step 6:
If we divide 61 by 37, we get 1 and a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 19281.0
If we take 37 away from 61, we end up 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.

Moving on to step 7:
When dividing 240 by 37, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 19281.6
Deduct 222 from 240 and we're left 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.

On to step 8:
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: 19281.64
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.

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: 19281.648
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.

Moving on to step 10:
The number 37 fits into 240 6 times, leaving a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 19281.6486
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 11:
When dividing 180 by 37, we get 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 19281.64864
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.

Let's proceed to step 12:
37 can be fit into 320 8 times, resulting in a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 19281.648648
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
240 divided by 37 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 19281.6486486
Deduct 222 from 240 and we're left 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.

Moving on to step 14:
The number 37 fits into 180 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 19281.64864864
Subtracting 148 from 180 leaves us 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.

Our division results in 19281.64864864 with a remaining 3.2e-08.