Let's divide 4213231 by 559
Let's see how many times 559 fits into 4213231.

Advancing to step 1:
The number 559 fits into 4 0 times, leaving 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.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 559

Let's proceed to step 2:
When dividing 42 by 559, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 559

Going ahead to step 3:
If we divide 421 by 559, we get 0 and a remainder of 421.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 421, we get 421.
Bring next digit (3) of the dividend behind the 421 and repeat the process: 4213 / 559

Going ahead to step 4:
4213 divided by 559 is 7 with a remainder of 300.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 3913 from 4213 and we're left with 300.
Fetch the next digit (2) from the dividend, attach it to 300 and continue: 3002 / 559

Going ahead to step 5:
559 goes into 3002 5 times with a remainder of 207.
Put 5 as the next digit of the answer. 
Result so far: 75.0
The remainder is 207 after subtracting 2795 from 3002.
Take the next digit (3) from the dividend and append it to 207, then repeat: 2073 / 559

Step 6:
2073 divided by 559 is 3 with a remainder of 396.
The next digit of our result is 3. 
Result so far: 753.0
Subtracting 1677 from 2073 leaves us with 396.
Fetch the next digit (1) from the dividend, attach it to 396 and continue: 3961 / 559

Advancing to step 7:
3961 divided by 559 is 7 with a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 7537.0
The remainder is 48 after subtracting 3913 from 3961.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 8:
If we divide 480 by 559, we get 0 and a remainder of 480.
Put 0 as the next digit of the answer. 
Result so far: 7537.0
Deduct 0 from 480 and we're left with 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Let's proceed to step 9:
559 goes into 4800 8 times with a remainder of 328.
Write down 8 as next digit of the result. 
Result so far: 7537.08
Deduct 4472 from 4800 and we're left with 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

Step 10:
559 goes into 3280 5 times with a remainder of 485.
Write down 5 as next digit of the result. 
Result so far: 7537.085
The remainder is 485 after subtracting 2795 from 3280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

On to step 11:
When dividing 4850 by 559, we get 8 with a remainder of 378.
Record the quotient 8 as the next digit in the result. 
Result so far: 7537.0858
Subtract 4472 from 4850 to get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Step 12:
If we divide 3780 by 559, we get 6 and a remainder of 426.
The number 6 becomes the next digit in our result. 
Result so far: 7537.08586
Deduct 3354 from 3780 and we're left with 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Advancing to step 13:
4260 divided by 559 is 7 with a remainder of 347.
The number 7 becomes the next digit in our result. 
Result so far: 7537.085867
Subtracting 3913 from 4260 leaves us with 347.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Step 14:
When dividing 3470 by 559, we get 6 with a remainder of 116.
The next digit of our result is 6. 
Result so far: 7537.0858676
The remainder is 116 after subtracting 3354 from 3470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Step 15:
When dividing 1160 by 559, we get 2 with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 7537.08586762
If we subtract 1118 from 1160, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 7537.08586762 with a remaining 4.2e-08.