We look at the division of 633437 by 46 
We want to divide 633437 by 46.

Going ahead 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:
The number 46 fits into 63 1 times, leaving a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 46 from 63, we get 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 46

Moving on to step 3:
173 divided by 46 is 3 with a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 138 away from 173, we end up with 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 46

Advancing to step 4:
If we divide 354 by 46, we get 7 and a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Subtracting 322 from 354 leaves us with 32.
Grab the next digit (3) from the dividend, add it to 32, then carry on: 323 / 46

Advancing to step 5:
The number 46 fits into 323 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 1377.0
Subtracting 322 from 323 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 46

Step 6:
46 can be fit into 17 0 times, resulting in a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 13770.0
Subtract 0 from 17 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.

Let's proceed to step 7:
When dividing 170 by 46, we get 3 with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 13770.3
The remainder is 32 after subtracting 138 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
The number 46 fits into 320 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 13770.36
Deduct 276 from 320 and we're left 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.

Let's proceed to step 9:
440 divided by 46 is 9 with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 13770.369
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.

On to step 10:
46 can be fit into 260 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 13770.3695
If we take 230 away from 260, we end up 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 11:
46 can be fit into 300 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 13770.36956
The remainder is 24 after subtracting 276 from 300.
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 12:
240 divided by 46 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 13770.369565
Subtracting 230 from 240 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
If we divide 100 by 46, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 13770.3695652
Subtract 92 from 100 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
If we divide 80 by 46, we get 1 and a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 13770.36956521
Subtracting 46 from 80 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 13770.36956521 with a balance of 3.4e-08.