153610 ÷ 45 
We want to figure out the number of times 153610 can be divided by 45.

Going ahead to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 45

Going ahead to step 2:
If we divide 15 by 45, we get 0 and a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 45

Advancing to step 3:
The number 45 fits into 153 3 times, leaving a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 135 from 153 and we're left with 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 45

Moving on to step 4:
45 goes into 186 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Subtract 180 from 186 to get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 45

Moving on to step 5:
The number 45 fits into 61 1 times, leaving a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 341.0
If we subtract 45 from 61, we get 16.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 45

Advancing to step 6:
45 goes into 160 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 3413.0
Subtracting 135 from 160 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 3413.5
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
When dividing 250 by 45, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3413.55
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 3413.55, with a leftover of 0.025.