We're dividing 637625 by 46 
Let's see how many times 46 fits into 637625.

Step 1:
46 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 46

On to step 2:
When dividing 63 by 46, we get 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 46 away from 63, we end up with 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 46

On to step 3:
When dividing 177 by 46, we get 3 with a remainder of 39.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 138 from 177 and we're left with 39.
Append the next digit (6) from the dividend to 39 and continue with: 396 / 46

Moving on to step 4:
46 goes into 396 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 138.0
If we take 368 away from 396, we end up with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 46

Advancing to step 5:
46 goes into 282 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 1386.0
The remainder is 6 after subtracting 276 from 282.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 46

Let's proceed to step 6:
When dividing 65 by 46, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 13861.0
Subtract 46 from 65 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
190 divided by 46 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 13861.4
Deduct 184 from 190 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 46 fits into 60 1 times, leaving a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 13861.41
If we take 46 away from 60, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
If we divide 140 by 46, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 13861.413
The remainder is 2 after subtracting 138 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
When dividing 20 by 46, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 13861.413
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
46 goes into 200 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 13861.41304
Subtracting 184 from 200 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
160 divided by 46 is 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 13861.413043
If we take 138 away from 160, we end up 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.

Going ahead to step 13:
The number 46 fits into 220 4 times, leaving a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 13861.4130434
If we subtract 184 from 220, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
The number 46 fits into 360 7 times, leaving a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 13861.41304347
Subtracting 322 from 360 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 13861.41304347, and the remainder is 3.8e-08.