We're dividing 1042233 by 653 
We want to divide 1042233 by 653.

On to step 1:
653 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 653

Let's proceed to step 2:
653 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 653

Moving on to step 3:
The number 653 fits into 104 0 times, leaving a remainder of 104.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 104 to get 104.
Take the next digit (2) from the dividend and append it to 104, then repeat: 1042 / 653

On to step 4:
1042 divided by 653 is 1 with a remainder of 389.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 653 from 1042 and we're left with 389.
Append the next digit (2) from the dividend to 389 and continue with: 3892 / 653

On to step 5:
653 goes into 3892 5 times with a remainder of 627.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 3265 from 3892 to get 627.
Fetch the next digit (3) from the dividend, attach it to 627 and continue: 6273 / 653

Advancing to step 6:
If we divide 6273 by 653, we get 9 and a remainder of 396.
Write down 9 as next digit of the result. 
Result so far: 159.0
If we take 5877 away from 6273, we end up with 396.
Bring next digit (3) of the dividend behind the 396 and repeat the process: 3963 / 653

Advancing to step 7:
653 can be fit into 3963 6 times, resulting in a remainder of 45.
Write down 6 as next digit of the result. 
Result so far: 1596.0
The remainder is 45 after subtracting 3918 from 3963.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 8:
If we divide 450 by 653, we get 0 and a remainder of 450.
Record the quotient 0 as the next digit in the result. 
Result so far: 1596.0
Deduct 0 from 450 and we're left with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Let's proceed to step 9:
When dividing 4500 by 653, we get 6 with a remainder of 582.
The next digit of our result is 6. 
Result so far: 1596.06
Subtract 3918 from 4500 to get 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

On to step 10:
When dividing 5820 by 653, we get 8 with a remainder of 596.
Record the quotient 8 as the next digit in the result. 
Result so far: 1596.068
If we subtract 5224 from 5820, we get 596.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5960, and continue the process.

Step 11:
5960 divided by 653 is 9 with a remainder of 83.
Put 9 as the next digit of the answer. 
Result so far: 1596.0689
If we subtract 5877 from 5960, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Going ahead to step 12:
830 divided by 653 is 1 with a remainder of 177.
Write down 1 as next digit of the result. 
Result so far: 1596.06891
If we take 653 away from 830, we end up with 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1770, and continue the process.

On to step 13:
653 goes into 1770 2 times with a remainder of 464.
Put 2 as the next digit of the answer. 
Result so far: 1596.068912
Subtracting 1306 from 1770 leaves us with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Let's proceed to step 14:
653 can be fit into 4640 7 times, resulting in a remainder of 69.
Record the quotient 7 as the next digit in the result. 
Result so far: 1596.0689127
Subtracting 4571 from 4640 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 15:
653 goes into 690 1 times with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 1596.06891271
Subtracting 653 from 690 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Our division results in 1596.06891271 with a remaining 3.7e-08.