We look at the division of 715633 by 151 
We want to figure out the number of times 715633 can be divided by 151.

On to step 1:
The number 151 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 151

Step 2:
If we divide 71 by 151, we get 0 and a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Grab the next digit (5) from the dividend, add it to 71, then carry on: 715 / 151

Going ahead to step 3:
The number 151 fits into 715 4 times, leaving a remainder of 111.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 604 away from 715, we end up with 111.
Fetch the next digit (6) from the dividend, attach it to 111 and continue: 1116 / 151

On to step 4:
151 can be fit into 1116 7 times, resulting in a remainder of 59.
The next digit of our result is 7. 
Result so far: 47.0
Subtracting 1057 from 1116 leaves us with 59.
Include the next digit (3) from the dividend after 59, then repeat: 593 / 151

Moving on to step 5:
151 can be fit into 593 3 times, resulting in a remainder of 140.
Record the quotient 3 as the next digit in the result. 
Result so far: 473.0
Subtract 453 from 593 to get 140.
Include the next digit (3) from the dividend after 140, then repeat: 1403 / 151

On to step 6:
151 goes into 1403 9 times with a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 4739.0
Deduct 1359 from 1403 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
440 divided by 151 is 2 with a remainder of 138.
Use 2 as the next digit of our solution. 
Result so far: 4739.2
If we subtract 302 from 440, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Let's proceed to step 8:
1380 divided by 151 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 4739.29
Deduct 1359 from 1380 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
151 can be fit into 210 1 times, resulting in a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 4739.291
If we take 151 away from 210, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 10:
151 can be fit into 590 3 times, resulting in a remainder of 137.
The next digit of our result is 3. 
Result so far: 4739.2913
If we subtract 453 from 590, we get 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Step 11:
The number 151 fits into 1370 9 times, leaving a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 4739.29139
Deduct 1359 from 1370 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
When dividing 110 by 151, we get 0 with a remainder of 110.
Put 0 as the next digit of the answer. 
Result so far: 4739.29139
If we take 0 away from 110, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Moving on to step 13:
151 can be fit into 1100 7 times, resulting in a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 4739.2913907
Subtracting 1057 from 1100 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 14:
If we divide 430 by 151, we get 2 and a remainder of 128.
The next digit of our result is 2. 
Result so far: 4739.29139072
If we subtract 302 from 430, we get 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

The final result is 4739.29139072 with a remainder of 1.28e-07.