We look at the division of 1088378 by 951 
Let's see how many times 951 fits into 1088378.

Moving on to step 1:
951 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 951

Going ahead to step 2:
The number 951 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 951

Let's proceed to step 3:
When dividing 108 by 951, we get 0 with a remainder of 108.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 108, we get 108.
Take the next digit (8) from the dividend and append it to 108, then repeat: 1088 / 951

Step 4:
The number 951 fits into 1088 1 times, leaving a remainder of 137.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 951 from 1088 to get 137.
Take the next digit (3) from the dividend and append it to 137, then repeat: 1373 / 951

On to step 5:
1373 divided by 951 is 1 with a remainder of 422.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 951 away from 1373, we end up with 422.
Append the next digit (7) from the dividend to 422 and continue with: 4227 / 951

Advancing to step 6:
951 can be fit into 4227 4 times, resulting in a remainder of 423.
The next digit of our result is 4. 
Result so far: 114.0
The remainder is 423 after subtracting 3804 from 4227.
Take the next digit (8) from the dividend and append it to 423, then repeat: 4238 / 951

Step 7:
The number 951 fits into 4238 4 times, leaving a remainder of 434.
Put 4 as the next digit of the answer. 
Result so far: 1144.0
Subtracting 3804 from 4238 leaves us with 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

Advancing to step 8:
951 goes into 4340 4 times with a remainder of 536.
Put 4 as the next digit of the answer. 
Result so far: 1144.4
If we take 3804 away from 4340, we end up with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Going ahead to step 9:
951 goes into 5360 5 times with a remainder of 605.
The next digit of our result is 5. 
Result so far: 1144.45
Deduct 4755 from 5360 and we're left with 605.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6050, and continue the process.

Advancing to step 10:
951 can be fit into 6050 6 times, resulting in a remainder of 344.
Use 6 as the next digit of our solution. 
Result so far: 1144.456
Deduct 5706 from 6050 and we're left with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Going ahead to step 11:
When dividing 3440 by 951, we get 3 with a remainder of 587.
Record the quotient 3 as the next digit in the result. 
Result so far: 1144.4563
Subtract 2853 from 3440 to get 587.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5870, and continue the process.

Advancing to step 12:
The number 951 fits into 5870 6 times, leaving a remainder of 164.
Put 6 as the next digit of the answer. 
Result so far: 1144.45636
If we subtract 5706 from 5870, we get 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

Advancing to step 13:
The number 951 fits into 1640 1 times, leaving a remainder of 689.
Record the quotient 1 as the next digit in the result. 
Result so far: 1144.456361
The remainder is 689 after subtracting 951 from 1640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6890, and continue the process.

Moving on to step 14:
951 can be fit into 6890 7 times, resulting in a remainder of 233.
Record the quotient 7 as the next digit in the result. 
Result so far: 1144.4563617
If we subtract 6657 from 6890, we get 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Step 15:
951 goes into 2330 2 times with a remainder of 428.
Put 2 as the next digit of the answer. 
Result so far: 1144.45636172
If we subtract 1902 from 2330, we get 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

The final result is 1144.45636172 with a remainder of 4.28e-07.