We divide 4217219 by 581
We want to divide 4217219 by 581.

Going ahead to step 1:
4 divided by 581 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 581

Going ahead to step 2:
581 goes into 42 0 times with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 581

On to step 3:
When dividing 421 by 581, we get 0 with a remainder of 421.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 421 leaves us with 421.
Grab the next digit (7) from the dividend, add it to 421, then carry on: 4217 / 581

Let's proceed to step 4:
If we divide 4217 by 581, we get 7 and a remainder of 150.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 4067 from 4217 to get 150.
Take the next digit (2) from the dividend and append it to 150, then repeat: 1502 / 581

Step 5:
581 can be fit into 1502 2 times, resulting in a remainder of 340.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
The remainder is 340 after subtracting 1162 from 1502.
Grab the next digit (1) from the dividend, add it to 340, then carry on: 3401 / 581

Step 6:
When dividing 3401 by 581, we get 5 with a remainder of 496.
Write down 5 as next digit of the result. 
Result so far: 725.0
Deduct 2905 from 3401 and we're left with 496.
Append the next digit (9) from the dividend to 496 and continue with: 4969 / 581

Going ahead to step 7:
581 goes into 4969 8 times with a remainder of 321.
Record the quotient 8 as the next digit in the result. 
Result so far: 7258.0
Subtracting 4648 from 4969 leaves us with 321.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3210, and continue the process.

Going ahead to step 8:
When dividing 3210 by 581, we get 5 with a remainder of 305.
Record the quotient 5 as the next digit in the result. 
Result so far: 7258.5
Deduct 2905 from 3210 and we're left with 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3050, and continue the process.

Step 9:
581 goes into 3050 5 times with a remainder of 145.
Record the quotient 5 as the next digit in the result. 
Result so far: 7258.55
The remainder is 145 after subtracting 2905 from 3050.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

The quotient of the division is 7258.55, and the remainder is 0.145.