10605414 ÷ 153 
Our goal is to divide 10605414 by 153.

Moving on to step 1:
When dividing 1 by 153, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 153

Let's proceed to step 2:
10 divided by 153 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 153

Moving on to step 3:
153 can be fit into 106 0 times, resulting in a remainder of 106.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 106 after subtracting 0 from 106.
Grab the next digit (0) from the dividend, add it to 106, then carry on: 1060 / 153

Going ahead to step 4:
When dividing 1060 by 153, we get 6 with a remainder of 142.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 918 from 1060 and we're left with 142.
Grab the next digit (5) from the dividend, add it to 142, then carry on: 1425 / 153

Moving on to step 5:
153 goes into 1425 9 times with a remainder of 48.
Use 9 as the next digit of our solution. 
Result so far: 69.0
Subtracting 1377 from 1425 leaves us with 48.
Include the next digit (4) from the dividend after 48, then repeat: 484 / 153

Going ahead to step 6:
The number 153 fits into 484 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 693.0
Deduct 459 from 484 and we're left with 25.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 153

Moving on to step 7:
251 divided by 153 is 1 with a remainder of 98.
Record the quotient 1 as the next digit in the result. 
Result so far: 6931.0
Subtract 153 from 251 to get 98.
Take the next digit (4) from the dividend and append it to 98, then repeat: 984 / 153

Advancing to step 8:
153 goes into 984 6 times with a remainder of 66.
The next digit of our result is 6. 
Result so far: 69316.0
Deduct 918 from 984 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 9:
153 can be fit into 660 4 times, resulting in a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 69316.4
Subtract 612 from 660 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
480 divided by 153 is 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 69316.43
Subtracting 459 from 480 leaves us 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.

Step 11:
If we divide 210 by 153, we get 1 and a remainder of 57.
Use 1 as the next digit of our solution. 
Result so far: 69316.431
If we take 153 away from 210, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 12:
153 can be fit into 570 3 times, resulting in a remainder of 111.
The next digit of our result is 3. 
Result so far: 69316.4313
Deduct 459 from 570 and we're left with 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

On to step 13:
153 can be fit into 1110 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 69316.43137
Subtracting 1071 from 1110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 14:
153 goes into 390 2 times with a remainder of 84.
Put 2 as the next digit of the answer. 
Result so far: 69316.431372
Subtract 306 from 390 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 15:
When dividing 840 by 153, we get 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 69316.4313725
The remainder is 75 after subtracting 765 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 16:
153 goes into 750 4 times with a remainder of 138.
Write down 4 as next digit of the result. 
Result so far: 69316.43137254
The remainder is 138 after subtracting 612 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

After the division, we end up with 69316.43137254 and a remainder of 1.38e-07.