Let's divide 624129 by 43
We want to divide 624129 by 43.

On to step 1:
When dividing 6 by 43, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 43

On to step 2:
62 divided by 43 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 43 from 62, we get 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 43

Step 3:
43 can be fit into 194 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 172 from 194 leaves us with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 43

On to step 4:
43 can be fit into 221 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 145.0
If we subtract 215 from 221, we get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 43

On to step 5:
When dividing 62 by 43, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1451.0
If we subtract 43 from 62, we get 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 43

Moving on to step 6:
199 divided by 43 is 4 with a remainder of 27.
Put 4 as the next digit of the answer. 
Result so far: 14514.0
The remainder is 27 after subtracting 172 from 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
43 goes into 270 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 14514.6
Subtracting 258 from 270 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 43 is 2 with a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 14514.62
Subtracting 86 from 120 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
If we divide 340 by 43, we get 7 and a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 14514.627
If we subtract 301 from 340, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 10:
The number 43 fits into 390 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 14514.6279
If we subtract 387 from 390, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
The number 43 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 14514.6279
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
43 can be fit into 300 6 times, resulting in a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 14514.627906
If we subtract 258 from 300, 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.

Step 13:
If we divide 420 by 43, we get 9 and a remainder of 33.
The next digit of our result is 9. 
Result so far: 14514.6279069
Subtracting 387 from 420 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 14:
If we divide 330 by 43, we get 7 and a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 14514.62790697
Deduct 301 from 330 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The quotient of the division is 14514.62790697, and the remainder is 2.9e-08.