We look at the division of 635597 by 46 
Let's see how many times 46 fits into 635597.

Let's proceed to step 1:
The number 46 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 46

Going ahead to step 2:
If we divide 63 by 46, we get 1 and a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 46 away from 63, we end up with 17.
Fetch the next digit (5) from the dividend, attach it to 17 and continue: 175 / 46

On to step 3:
46 goes into 175 3 times with a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 138 from 175, we get 37.
Bring next digit (5) of the dividend behind the 37 and repeat the process: 375 / 46

Going ahead to step 4:
375 divided by 46 is 8 with a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 138.0
If we subtract 368 from 375, we get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 46

Step 5:
The number 46 fits into 79 1 times, leaving a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 1381.0
Deduct 46 from 79 and we're left with 33.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 46

On to step 6:
337 divided by 46 is 7 with a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 13817.0
Subtracting 322 from 337 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
46 can be fit into 150 3 times, resulting in a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 13817.3
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
When dividing 120 by 46, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 13817.32
If we take 92 away from 120, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 46, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 13817.326
Subtracting 276 from 280 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.

On to step 10:
46 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 13817.326
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
400 divided by 46 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 13817.32608
Subtract 368 from 400 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.

Advancing to step 12:
320 divided by 46 is 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 13817.326086
Subtracting 276 from 320 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 13:
440 divided by 46 is 9 with a remainder of 26.
Use 9 as the next digit of our solution. 
Result so far: 13817.3260869
Deduct 414 from 440 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
When dividing 260 by 46, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 13817.32608695
The remainder is 30 after subtracting 230 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 13817.32608695, and the remainder is 3e-08.