603674 ÷ 89 
We want to figure out the number of times 603674 can be divided by 89.

Step 1:
89 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 89

Moving on to step 2:
89 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Fetch the next digit (3) from the dividend, attach it to 60 and continue: 603 / 89

On to step 3:
603 divided by 89 is 6 with a remainder of 69.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 534 away from 603, we end up with 69.
Bring next digit (6) of the dividend behind the 69 and repeat the process: 696 / 89

Step 4:
If we divide 696 by 89, we get 7 and a remainder of 73.
The next digit of our result is 7. 
Result so far: 67.0
Subtracting 623 from 696 leaves us with 73.
Append the next digit (7) from the dividend to 73 and continue with: 737 / 89

On to step 5:
The number 89 fits into 737 8 times, leaving a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 678.0
Deduct 712 from 737 and we're left with 25.
Fetch the next digit (4) from the dividend, attach it to 25 and continue: 254 / 89

On to step 6:
The number 89 fits into 254 2 times, leaving a remainder of 76.
The next digit of our result is 2. 
Result so far: 6782.0
If we take 178 away from 254, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 7:
The number 89 fits into 760 8 times, leaving a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 6782.8
The remainder is 48 after subtracting 712 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
The number 89 fits into 480 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6782.85
Subtract 445 from 480 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
350 divided by 89 is 3 with a remainder of 83.
Write down 3 as next digit of the result. 
Result so far: 6782.853
The remainder is 83 after subtracting 267 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 10:
When dividing 830 by 89, we get 9 with a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 6782.8539
Subtract 801 from 830 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
89 goes into 290 3 times with a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 6782.85393
Subtracting 267 from 290 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
The number 89 fits into 230 2 times, leaving a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 6782.853932
Deduct 178 from 230 and we're left with 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 13:
89 goes into 520 5 times with a remainder of 75.
The next digit of our result is 5. 
Result so far: 6782.8539325
If we subtract 445 from 520, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 14:
When dividing 750 by 89, we get 8 with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 6782.85393258
Deduct 712 from 750 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 6782.85393258 and a remainder of 3.8e-08.