4218688 ÷ 753 
Let's see how many times 753 fits into 4218688.

Going ahead to step 1:
753 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
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 / 753

Moving on to step 2:
If we divide 42 by 753, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 753

Step 3:
421 divided by 753 is 0 with 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.
Fetch the next digit (8) from the dividend, attach it to 421 and continue: 4218 / 753

Going ahead to step 4:
753 goes into 4218 5 times with a remainder of 453.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 453 after subtracting 3765 from 4218.
Fetch the next digit (6) from the dividend, attach it to 453 and continue: 4536 / 753

Step 5:
When dividing 4536 by 753, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 56.0
The remainder is 18 after subtracting 4518 from 4536.
Bring next digit (8) of the dividend behind the 18 and repeat the process: 188 / 753

Step 6:
188 divided by 753 is 0 with a remainder of 188.
The next digit of our result is 0. 
Result so far: 560.0
The remainder is 188 after subtracting 0 from 188.
Fetch the next digit (8) from the dividend, attach it to 188 and continue: 1888 / 753

Going ahead to step 7:
1888 divided by 753 is 2 with a remainder of 382.
The next digit of our result is 2. 
Result so far: 5602.0
If we take 1506 away from 1888, we end up with 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

On to step 8:
3820 divided by 753 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 5602.5
The remainder is 55 after subtracting 3765 from 3820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 9:
The number 753 fits into 550 0 times, leaving a remainder of 550.
Write down 0 as next digit of the result. 
Result so far: 5602.5
If we take 0 away from 550, we end up with 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5500, and continue the process.

Let's proceed to step 10:
753 can be fit into 5500 7 times, resulting in a remainder of 229.
Write down 7 as next digit of the result. 
Result so far: 5602.507
Subtract 5271 from 5500 to get 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Advancing to step 11:
If we divide 2290 by 753, we get 3 and a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 5602.5073
If we subtract 2259 from 2290, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
753 can be fit into 310 0 times, resulting in a remainder of 310.
Put 0 as the next digit of the answer. 
Result so far: 5602.5073
Deduct 0 from 310 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Let's proceed to step 13:
When dividing 3100 by 753, we get 4 with a remainder of 88.
Record the quotient 4 as the next digit in the result. 
Result so far: 5602.507304
Deduct 3012 from 3100 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 14:
753 can be fit into 880 1 times, resulting in a remainder of 127.
The number 1 becomes the next digit in our result. 
Result so far: 5602.5073041
If we subtract 753 from 880, we get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

Let's proceed to step 15:
1270 divided by 753 is 1 with a remainder of 517.
The next digit of our result is 1. 
Result so far: 5602.50730411
The remainder is 517 after subtracting 753 from 1270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5170, and continue the process.

The final outcome is 5602.50730411, with a leftover of 5.17e-07.