We look at the division of 603410 by 88 
We're looking to find how many times 88 goes into 603410.

Step 1:
88 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 88

Moving on to step 2:
60 divided by 88 is 0 with a remainder of 60.
The number 0 becomes the next digit in our 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 / 88

Step 3:
If we divide 603 by 88, we get 6 and a remainder of 75.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 528 from 603 leaves us with 75.
Bring next digit (4) of the dividend behind the 75 and repeat the process: 754 / 88

On to step 4:
The number 88 fits into 754 8 times, leaving a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtracting 704 from 754 leaves us with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 88

On to step 5:
If we divide 501 by 88, we get 5 and a remainder of 61.
The next digit of our result is 5. 
Result so far: 685.0
If we take 440 away from 501, we end up with 61.
Take the next digit (0) from the dividend and append it to 61, then repeat: 610 / 88

Moving on to step 6:
When dividing 610 by 88, we get 6 with a remainder of 82.
Write down 6 as next digit of the result. 
Result so far: 6856.0
Subtract 528 from 610 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 7:
88 can be fit into 820 9 times, resulting in a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 6856.9
The remainder is 28 after subtracting 792 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
88 goes into 280 3 times with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 6856.93
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
If we divide 160 by 88, we get 1 and a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 6856.931
Subtract 88 from 160 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 10:
720 divided by 88 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 6856.9318
Deduct 704 from 720 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
When dividing 160 by 88, we get 1 with a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 6856.93181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 12:
The number 88 fits into 720 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 6856.931818
Subtract 704 from 720 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
The number 88 fits into 160 1 times, leaving a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 6856.9318181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 14:
When dividing 720 by 88, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 6856.93181818
Deduct 704 from 720 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 6856.93181818, and the remainder is 1.6e-08.