We're dividing 350950 by 61 
We're looking to find how many times 61 goes into 350950.

Step 1:
61 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 61

On to step 2:
35 divided by 61 is 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 61

Step 3:
When dividing 350 by 61, we get 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 305 from 350, we get 45.
Take the next digit (9) from the dividend and append it to 45, then repeat: 459 / 61

Going ahead to step 4:
If we divide 459 by 61, we get 7 and a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 57.0
The remainder is 32 after subtracting 427 from 459.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 61

Step 5:
61 goes into 325 5 times with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 575.0
Deduct 305 from 325 and we're left with 20.
Grab the next digit (0) from the dividend, add it to 20, then carry on: 200 / 61

Advancing to step 6:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 5753.0
Deduct 183 from 200 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
If we divide 170 by 61, we get 2 and a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 5753.2
Subtracting 122 from 170 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 5753.27
Subtracting 427 from 480 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 9:
When dividing 530 by 61, we get 8 with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 5753.278
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
When dividing 420 by 61, we get 6 with a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 5753.2786
Deduct 366 from 420 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 11:
61 goes into 540 8 times with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 5753.27868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
When dividing 520 by 61, we get 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 5753.278688
Deduct 488 from 520 and we're left 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.

The final result is 5753.278688 with a remainder of 3.2e-06.