Let's divide 360961 by 46
Our goal is to divide 360961 by 46.

Step 1:
46 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 46

Step 2:
If we divide 36 by 46, we get 0 and a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Bring next digit (0) of the dividend behind the 36 and repeat the process: 360 / 46

Step 3:
If we divide 360 by 46, we get 7 and a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 322 from 360, we get 38.
Fetch the next digit (9) from the dividend, attach it to 38 and continue: 389 / 46

Advancing to step 4:
If we divide 389 by 46, we get 8 and a remainder of 21.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we subtract 368 from 389, we get 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 46

On to step 5:
46 goes into 216 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 784.0
Deduct 184 from 216 and we're left with 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 46

Moving on to step 6:
46 can be fit into 321 6 times, resulting in a remainder of 45.
Record the quotient 6 as the next digit in the result. 
Result so far: 7846.0
If we subtract 276 from 321, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
When dividing 450 by 46, we get 9 with a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 7846.9
Subtract 414 from 450 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 46, we get 7 and a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 7846.97
Deduct 322 from 360 and we're left 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.

Step 9:
When dividing 380 by 46, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7846.978
Subtracting 368 from 380 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 46, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 7846.9782
Subtracting 92 from 120 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
If we divide 280 by 46, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 7846.97826
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
When dividing 40 by 46, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7846.97826
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
When dividing 400 by 46, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 7846.9782608
If we take 368 away from 400, we end up 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 14:
46 goes into 320 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 7846.97826086
Subtract 276 from 320 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final outcome is 7846.97826086, with a leftover of 4.4e-08.