Let's divide 7638153 by 741
Our goal is to divide 7638153 by 741.

Let's proceed to step 1:
When dividing 7 by 741, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 741

On to step 2:
741 goes into 76 0 times with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Append the next digit (3) from the dividend to 76 and continue with: 763 / 741

On to step 3:
The number 741 fits into 763 1 times, leaving a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 741 from 763 leaves us with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 741

Moving on to step 4:
741 can be fit into 228 0 times, resulting in a remainder of 228.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 228, we get 228.
Append the next digit (1) from the dividend to 228 and continue with: 2281 / 741

Going ahead to step 5:
The number 741 fits into 2281 3 times, leaving a remainder of 58.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Deduct 2223 from 2281 and we're left with 58.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 741

Going ahead to step 6:
585 divided by 741 is 0 with a remainder of 585.
Record the quotient 0 as the next digit in the result. 
Result so far: 1030.0
Subtract 0 from 585 to get 585.
Include the next digit (3) from the dividend after 585, then repeat: 5853 / 741

On to step 7:
741 goes into 5853 7 times with a remainder of 666.
The number 7 becomes the next digit in our result. 
Result so far: 10307.0
Deduct 5187 from 5853 and we're left with 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Moving on to step 8:
741 goes into 6660 8 times with a remainder of 732.
Record the quotient 8 as the next digit in the result. 
Result so far: 10307.8
If we subtract 5928 from 6660, we get 732.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7320, and continue the process.

Going ahead to step 9:
The number 741 fits into 7320 9 times, leaving a remainder of 651.
Record the quotient 9 as the next digit in the result. 
Result so far: 10307.89
If we take 6669 away from 7320, we end up with 651.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6510, and continue the process.

Let's proceed to step 10:
The number 741 fits into 6510 8 times, leaving a remainder of 582.
Record the quotient 8 as the next digit in the result. 
Result so far: 10307.898
The remainder is 582 after subtracting 5928 from 6510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Moving on to step 11:
When dividing 5820 by 741, we get 7 with a remainder of 633.
Use 7 as the next digit of our solution. 
Result so far: 10307.8987
Subtract 5187 from 5820 to get 633.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6330, and continue the process.

Let's proceed to step 12:
If we divide 6330 by 741, we get 8 and a remainder of 402.
Record the quotient 8 as the next digit in the result. 
Result so far: 10307.89878
Subtracting 5928 from 6330 leaves us with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Step 13:
741 can be fit into 4020 5 times, resulting in a remainder of 315.
The number 5 becomes the next digit in our result. 
Result so far: 10307.898785
Deduct 3705 from 4020 and we're left with 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

On to step 14:
3150 divided by 741 is 4 with a remainder of 186.
The next digit of our result is 4. 
Result so far: 10307.8987854
The remainder is 186 after subtracting 2964 from 3150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Going ahead to step 15:
741 goes into 1860 2 times with a remainder of 378.
Put 2 as the next digit of the answer. 
Result so far: 10307.89878542
Subtract 1482 from 1860 to get 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

The final outcome is 10307.89878542, with a leftover of 3.78e-07.