We look at the division of 541768 by 374 
Our goal is to divide 541768 by 374.

Advancing to step 1:
374 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 374

Advancing to step 2:
If we divide 54 by 374, we get 0 and a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Include the next digit (1) from the dividend after 54, then repeat: 541 / 374

Let's proceed to step 3:
When dividing 541 by 374, we get 1 with a remainder of 167.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 374 from 541 and we're left with 167.
Take the next digit (7) from the dividend and append it to 167, then repeat: 1677 / 374

On to step 4:
When dividing 1677 by 374, we get 4 with a remainder of 181.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we subtract 1496 from 1677, we get 181.
Grab the next digit (6) from the dividend, add it to 181, then carry on: 1816 / 374

Advancing to step 5:
When dividing 1816 by 374, we get 4 with a remainder of 320.
Record the quotient 4 as the next digit in the result. 
Result so far: 144.0
The remainder is 320 after subtracting 1496 from 1816.
Take the next digit (8) from the dividend and append it to 320, then repeat: 3208 / 374

Advancing to step 6:
374 can be fit into 3208 8 times, resulting in a remainder of 216.
The next digit of our result is 8. 
Result so far: 1448.0
The remainder is 216 after subtracting 2992 from 3208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Advancing to step 7:
374 can be fit into 2160 5 times, resulting in a remainder of 290.
Put 5 as the next digit of the answer. 
Result so far: 1448.5
Subtracting 1870 from 2160 leaves us with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Moving on to step 8:
2900 divided by 374 is 7 with a remainder of 282.
Use 7 as the next digit of our solution. 
Result so far: 1448.57
Deduct 2618 from 2900 and we're left with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

On to step 9:
The number 374 fits into 2820 7 times, leaving a remainder of 202.
Write down 7 as next digit of the result. 
Result so far: 1448.577
Deduct 2618 from 2820 and we're left with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

The final result is 1448.577 with a remainder of 0.0202.