We're dividing 355541 by 94 
We want to figure out the number of times 355541 can be divided by 94.

Let's proceed to step 1:
If we divide 3 by 94, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
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

Moving on to step 2:
94 can be fit into 35 0 times, resulting in a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 94

Advancing to step 3:
94 goes into 355 3 times with a remainder of 73.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 73 after subtracting 282 from 355.
Bring next digit (5) of the dividend behind the 73 and repeat the process: 735 / 94

Moving on to step 4:
94 goes into 735 7 times with a remainder of 77.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Deduct 658 from 735 and we're left with 77.
Take the next digit (4) from the dividend and append it to 77, then repeat: 774 / 94

On to step 5:
If we divide 774 by 94, we get 8 and a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 378.0
If we take 752 away from 774, we end up with 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 94

On to step 6:
221 divided by 94 is 2 with a remainder of 33.
Record the quotient 2 as the next digit in the result. 
Result so far: 3782.0
Deduct 188 from 221 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
If we divide 330 by 94, we get 3 and a remainder of 48.
Write down 3 as next digit of the result. 
Result so far: 3782.3
The remainder is 48 after subtracting 282 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
When dividing 480 by 94, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 3782.35
If we subtract 470 from 480, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
94 can be fit into 100 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 3782.351
Deduct 94 from 100 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.

Moving on to step 10:
94 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 3782.351
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
The number 94 fits into 600 6 times, leaving a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 3782.35106
Subtracting 564 from 600 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
When dividing 360 by 94, we get 3 with a remainder of 78.
Record the quotient 3 as the next digit in the result. 
Result so far: 3782.351063
If we take 282 away from 360, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 13:
If we divide 780 by 94, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 3782.3510638
Subtract 752 from 780 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 14:
94 can be fit into 280 2 times, resulting in a remainder of 92.
Put 2 as the next digit of the answer. 
Result so far: 3782.35106382
Subtract 188 from 280 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

After the division, we end up with 3782.35106382 and a remainder of 9.2e-08.