We're dividing 6358302 by 742 
Our goal is to divide 6358302 by 742.

Step 1:
The number 742 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 742

Step 2:
742 goes into 63 0 times with a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Append the next digit (5) from the dividend to 63 and continue with: 635 / 742

Step 3:
The number 742 fits into 635 0 times, leaving a remainder of 635.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 635 leaves us with 635.
Take the next digit (8) from the dividend and append it to 635, then repeat: 6358 / 742

Moving on to step 4:
The number 742 fits into 6358 8 times, leaving a remainder of 422.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 5936 from 6358, we get 422.
Take the next digit (3) from the dividend and append it to 422, then repeat: 4223 / 742

Moving on to step 5:
742 goes into 4223 5 times with a remainder of 513.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
If we take 3710 away from 4223, we end up with 513.
Grab the next digit (0) from the dividend, add it to 513, then carry on: 5130 / 742

Step 6:
When dividing 5130 by 742, we get 6 with a remainder of 678.
Use 6 as the next digit of our solution. 
Result so far: 856.0
Subtract 4452 from 5130 to get 678.
Grab the next digit (2) from the dividend, add it to 678, then carry on: 6782 / 742

On to step 7:
6782 divided by 742 is 9 with a remainder of 104.
Record the quotient 9 as the next digit in the result. 
Result so far: 8569.0
The remainder is 104 after subtracting 6678 from 6782.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Going ahead to step 8:
When dividing 1040 by 742, we get 1 with a remainder of 298.
Use 1 as the next digit of our solution. 
Result so far: 8569.1
The remainder is 298 after subtracting 742 from 1040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

On to step 9:
When dividing 2980 by 742, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 8569.14
The remainder is 12 after subtracting 2968 from 2980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
When dividing 120 by 742, we get 0 with a remainder of 120.
Record the quotient 0 as the next digit in the result. 
Result so far: 8569.14
Deduct 0 from 120 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Going ahead to step 11:
If we divide 1200 by 742, we get 1 and a remainder of 458.
The number 1 becomes the next digit in our result. 
Result so far: 8569.1401
Deduct 742 from 1200 and we're left with 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Step 12:
If we divide 4580 by 742, we get 6 and a remainder of 128.
The number 6 becomes the next digit in our result. 
Result so far: 8569.14016
The remainder is 128 after subtracting 4452 from 4580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

On to step 13:
742 goes into 1280 1 times with a remainder of 538.
Write down 1 as next digit of the result. 
Result so far: 8569.140161
Subtracting 742 from 1280 leaves us with 538.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5380, and continue the process.

Moving on to step 14:
If we divide 5380 by 742, we get 7 and a remainder of 186.
Record the quotient 7 as the next digit in the result. 
Result so far: 8569.1401617
If we subtract 5194 from 5380, we get 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Let's proceed to step 15:
The number 742 fits into 1860 2 times, leaving a remainder of 376.
The next digit of our result is 2. 
Result so far: 8569.14016172
If we subtract 1484 from 1860, we get 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

The quotient of the division is 8569.14016172, and the remainder is 3.76e-07.