603953 ÷ 74 
Our goal is to divide 603953 by 74.

Let's proceed to step 1:
6 divided by 74 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 74

Moving on to step 2:
74 can be fit into 60 0 times, resulting in a remainder of 60.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Grab the next digit (3) from the dividend, add it to 60, then carry on: 603 / 74

On to step 3:
74 can be fit into 603 8 times, resulting in a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 11 after subtracting 592 from 603.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 74

Moving on to step 4:
The number 74 fits into 119 1 times, leaving a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Subtract 74 from 119 to get 45.
Take the next digit (5) from the dividend and append it to 45, then repeat: 455 / 74

Let's proceed to step 5:
74 can be fit into 455 6 times, resulting in a remainder of 11.
The next digit of our result is 6. 
Result so far: 816.0
If we take 444 away from 455, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 74

On to step 6:
When dividing 113 by 74, we get 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 8161.0
Deduct 74 from 113 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
When dividing 390 by 74, we get 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 8161.5
If we take 370 away from 390, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
74 goes into 200 2 times with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 8161.52
Subtract 148 from 200 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 9:
74 goes into 520 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 8161.527
Subtracting 518 from 520 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
74 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 8161.527
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
74 goes into 200 2 times with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 8161.52702
Subtract 148 from 200 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 12:
When dividing 520 by 74, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 8161.527027
Deduct 518 from 520 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
74 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 8161.527027
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
74 goes into 200 2 times with a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 8161.52702702
Subtract 148 from 200 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 8161.52702702, with a leftover of 5.2e-08.