We look at the division of 256673 by 37 
We want to divide 256673 by 37.

Step 1:
When dividing 2 by 37, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 37

On to step 2:
37 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Fetch the next digit (6) from the dividend, attach it to 25 and continue: 256 / 37

Step 3:
When dividing 256 by 37, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 222 from 256, we get 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 37

Advancing to step 4:
346 divided by 37 is 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 69.0
Subtracting 333 from 346 leaves us with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 37

Going ahead to step 5:
137 divided by 37 is 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 693.0
If we subtract 111 from 137, we get 26.
Take the next digit (3) from the dividend and append it to 26, then repeat: 263 / 37

Step 6:
If we divide 263 by 37, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 6937.0
Subtracting 259 from 263 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 37 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 6937.1
Subtract 37 from 40 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
37 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
Result so far: 6937.1
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
If we divide 300 by 37, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 6937.108
Subtracting 296 from 300 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
37 can be fit into 40 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 6937.1081
The remainder is 3 after subtracting 37 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
When dividing 30 by 37, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 6937.1081
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
The number 37 fits into 300 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 6937.108108
If we subtract 296 from 300, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 6937.1081081
The remainder is 3 after subtracting 37 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
37 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 6937.1081081
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 6937.1081081 and a remainder of 3e-08.