431164 divided by 61 
We want to divide 431164 by 61.

On to step 1:
61 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 61

Advancing to step 2:
If we divide 43 by 61, we get 0 and a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 61

On to step 3:
431 divided by 61 is 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 427 from 431 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 61

Let's proceed to step 4:
If we divide 41 by 61, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we subtract 0 from 41, we get 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 61

Step 5:
61 goes into 416 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 706.0
Deduct 366 from 416 and we're left with 50.
Fetch the next digit (4) from the dividend, attach it to 50 and continue: 504 / 61

On to step 6:
When dividing 504 by 61, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 7068.0
Subtract 488 from 504 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
61 can be fit into 160 2 times, resulting in a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 7068.2
If we take 122 away from 160, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
380 divided by 61 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 7068.26
The remainder is 14 after subtracting 366 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
140 divided by 61 is 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 7068.262
Subtracting 122 from 140 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
The number 61 fits into 180 2 times, leaving a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 7068.2622
If we take 122 away from 180, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final result is 7068.2622 with a remainder of 0.00058.