435450 ÷ 61 
Our goal is to divide 435450 by 61.

Let's proceed to step 1:
61 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 61

Advancing to step 2:
When dividing 43 by 61, we get 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 61

On to step 3:
435 divided by 61 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 427 from 435 and we're left with 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 61

On to step 4:
84 divided by 61 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtracting 61 from 84 leaves us with 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 61

Let's proceed to step 5:
The number 61 fits into 235 3 times, leaving a remainder of 52.
Write down 3 as next digit of the result. 
Result so far: 713.0
The remainder is 52 after subtracting 183 from 235.
Bring next digit (0) of the dividend behind the 52 and repeat the process: 520 / 61

Moving on to step 6:
The number 61 fits into 520 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 7138.0
Subtracting 488 from 520 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
320 divided by 61 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 7138.5
Deduct 305 from 320 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
150 divided by 61 is 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 7138.52
Subtract 122 from 150 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
61 can be fit into 280 4 times, resulting in a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 7138.524
Deduct 244 from 280 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
When dividing 360 by 61, we get 5 with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 7138.5245
Subtract 305 from 360 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 11:
550 divided by 61 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 7138.52459
The remainder is 1 after subtracting 549 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
The number 61 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7138.52459
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
When dividing 100 by 61, we get 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 7138.5245901
Subtract 61 from 100 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 14:
61 can be fit into 390 6 times, resulting in a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 7138.52459016
If we subtract 366 from 390, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 7138.52459016 with a remainder of 2.4e-08.