We're dividing 753580 by 626 
Our goal is to divide 753580 by 626.

Moving on to step 1:
If we divide 7 by 626, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 626

Let's proceed to step 2:
75 divided by 626 is 0 with a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Take the next digit (3) from the dividend and append it to 75, then repeat: 753 / 626

On to step 3:
753 divided by 626 is 1 with a remainder of 127.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 626 from 753 leaves us with 127.
Append the next digit (5) from the dividend to 127 and continue with: 1275 / 626

Advancing to step 4:
If we divide 1275 by 626, we get 2 and a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 23 after subtracting 1252 from 1275.
Append the next digit (8) from the dividend to 23 and continue with: 238 / 626

Going ahead to step 5:
If we divide 238 by 626, we get 0 and a remainder of 238.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
If we take 0 away from 238, we end up with 238.
Grab the next digit (0) from the dividend, add it to 238, then carry on: 2380 / 626

On to step 6:
626 goes into 2380 3 times with a remainder of 502.
Use 3 as the next digit of our solution. 
Result so far: 1203.0
The remainder is 502 after subtracting 1878 from 2380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5020, and continue the process.

Moving on to step 7:
If we divide 5020 by 626, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1203.8
Subtracting 5008 from 5020 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.

Step 8:
120 divided by 626 is 0 with a remainder of 120.
Use 0 as the next digit of our solution. 
Result so far: 1203.8
The remainder is 120 after subtracting 0 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Advancing to step 9:
626 can be fit into 1200 1 times, resulting in a remainder of 574.
Use 1 as the next digit of our solution. 
Result so far: 1203.801
If we take 626 away from 1200, we end up with 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

On to step 10:
5740 divided by 626 is 9 with a remainder of 106.
The next digit of our result is 9. 
Result so far: 1203.8019
If we subtract 5634 from 5740, we get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Moving on to step 11:
626 goes into 1060 1 times with a remainder of 434.
Record the quotient 1 as the next digit in the result. 
Result so far: 1203.80191
The remainder is 434 after subtracting 626 from 1060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

Going ahead to step 12:
626 goes into 4340 6 times with a remainder of 584.
Use 6 as the next digit of our solution. 
Result so far: 1203.801916
The remainder is 584 after subtracting 3756 from 4340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

On to step 13:
If we divide 5840 by 626, we get 9 and a remainder of 206.
The next digit of our result is 9. 
Result so far: 1203.8019169
The remainder is 206 after subtracting 5634 from 5840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

Going ahead to step 14:
If we divide 2060 by 626, we get 3 and a remainder of 182.
Record the quotient 3 as the next digit in the result. 
Result so far: 1203.80191693
If we subtract 1878 from 2060, we get 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

The final result is 1203.80191693 with a remainder of 1.82e-07.