We look at the division of 257463 by 37 
We want to figure out the number of times 257463 can be divided by 37.

Going ahead to step 1:
37 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 37

Going ahead to step 2:
When dividing 25 by 37, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 37

Going ahead to step 3:
37 goes into 257 6 times with a remainder of 35.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 222 from 257 to get 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 37

Let's proceed to step 4:
If we divide 354 by 37, we get 9 and a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
If we subtract 333 from 354, we get 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 37

Let's proceed to step 5:
The number 37 fits into 216 5 times, leaving a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 695.0
Subtract 185 from 216 to get 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 37

Let's proceed to step 6:
If we divide 313 by 37, we get 8 and a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 6958.0
Subtracting 296 from 313 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
37 can be fit into 170 4 times, resulting in a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 6958.4
The remainder is 22 after subtracting 148 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 37 fits into 220 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6958.45
If we take 185 away from 220, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
37 goes into 350 9 times with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 6958.459
Subtract 333 from 350 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
170 divided by 37 is 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 6958.4594
If we subtract 148 from 170, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
If we divide 220 by 37, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 6958.45945
Subtracting 185 from 220 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 12:
37 can be fit into 350 9 times, resulting in a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 6958.459459
The remainder is 17 after subtracting 333 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
When dividing 170 by 37, we get 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 6958.4594594
Subtracting 148 from 170 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
If we divide 220 by 37, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6958.45945945
The remainder is 35 after subtracting 185 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 6958.45945945 with a remainder of 3.5e-08.