Let's divide 419345 by 72
We want to divide 419345 by 72.

Step 1:
When dividing 4 by 72, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 72

Let's proceed to step 2:
72 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 72

Moving on to step 3:
When dividing 419 by 72, we get 5 with a remainder of 59.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 360 from 419, we get 59.
Append the next digit (3) from the dividend to 59 and continue with: 593 / 72

On to step 4:
72 goes into 593 8 times with a remainder of 17.
Use 8 as the next digit of our solution. 
Result so far: 58.0
The remainder is 17 after subtracting 576 from 593.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 72

Advancing to step 5:
174 divided by 72 is 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 582.0
Subtract 144 from 174 to get 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 72

Let's proceed to step 6:
The number 72 fits into 305 4 times, leaving a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 5824.0
The remainder is 17 after subtracting 288 from 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
The number 72 fits into 170 2 times, leaving a remainder of 26.
The next digit of our result is 2. 
Result so far: 5824.2
If we take 144 away from 170, we end up 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.

Let's proceed to step 8:
260 divided by 72 is 3 with a remainder of 44.
The next digit of our result is 3. 
Result so far: 5824.23
Subtracting 216 from 260 leaves us 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.

Moving on to step 9:
72 goes into 440 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 5824.236
Subtracting 432 from 440 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.

On to step 10:
If we divide 80 by 72, we get 1 and a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 5824.2361
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
72 can be fit into 80 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 5824.23611
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 5824.23611, and the remainder is 8e-06.