353668 divided by 94 
We're looking to find how many times 94 goes into 353668.

Moving on to step 1:
94 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 94

Step 2:
If we divide 35 by 94, we get 0 and a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (3) from the dividend and append it to 35, then repeat: 353 / 94

Step 3:
When dividing 353 by 94, we get 3 with a remainder of 71.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 282 from 353 and we're left with 71.
Include the next digit (6) from the dividend after 71, then repeat: 716 / 94

Advancing to step 4:
94 goes into 716 7 times with a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Subtract 658 from 716 to get 58.
Grab the next digit (6) from the dividend, add it to 58, then carry on: 586 / 94

Let's proceed to step 5:
If we divide 586 by 94, we get 6 and a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 376.0
If we take 564 away from 586, we end up with 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 94

Step 6:
94 goes into 228 2 times with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 3762.0
The remainder is 40 after subtracting 188 from 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
94 can be fit into 400 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 3762.4
The remainder is 24 after subtracting 376 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
94 goes into 240 2 times with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 3762.42
The remainder is 52 after subtracting 188 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 9:
When dividing 520 by 94, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 3762.425
Deduct 470 from 520 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
94 can be fit into 500 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 3762.4255
If we take 470 away from 500, 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.

The quotient of the division is 3762.4255, and the remainder is 0.0003.