We look at the division of 353600 by 46 
Our goal is to divide 353600 by 46.

Let's proceed to step 1:
3 divided by 46 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 46

On to step 2:
When dividing 35 by 46, we get 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 46

On to step 3:
46 goes into 353 7 times with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 322 from 353, we get 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 46

Moving on to step 4:
If we divide 316 by 46, we get 6 and a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 76.0
The remainder is 40 after subtracting 276 from 316.
Bring next digit (0) of the dividend behind the 40 and repeat the process: 400 / 46

Step 5:
46 goes into 400 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 768.0
If we take 368 away from 400, we end up with 32.
Take the next digit (0) from the dividend and append it to 32, then repeat: 320 / 46

Step 6:
46 goes into 320 6 times with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 7686.0
The remainder is 44 after subtracting 276 from 320.
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 7:
The number 46 fits into 440 9 times, leaving a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 7686.9
If we subtract 414 from 440, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
The number 46 fits into 260 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 7686.95
If we subtract 230 from 260, 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.

On to step 9:
46 can be fit into 300 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 7686.956
Subtracting 276 from 300 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
46 goes into 240 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7686.9565
The remainder is 10 after subtracting 230 from 240.
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 11:
46 can be fit into 100 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7686.95652
Subtracting 92 from 100 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
46 can be fit into 80 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 7686.956521
Subtract 46 from 80 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
46 can be fit into 340 7 times, resulting in a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 7686.9565217
Subtract 322 from 340 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 14:
If we divide 180 by 46, we get 3 and a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 7686.95652173
Deduct 138 from 180 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 7686.95652173, and the remainder is 4.2e-08.