We're dividing 1331378 by 946 
We're looking to find how many times 946 goes into 1331378.

Step 1:
When dividing 1 by 946, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 946

Step 2:
946 goes into 13 0 times with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 946

Moving on to step 3:
If we divide 133 by 946, we get 0 and a remainder of 133.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 133, we get 133.
Append the next digit (1) from the dividend to 133 and continue with: 1331 / 946

Going ahead to step 4:
1331 divided by 946 is 1 with a remainder of 385.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 385 after subtracting 946 from 1331.
Take the next digit (3) from the dividend and append it to 385, then repeat: 3853 / 946

Moving on to step 5:
946 goes into 3853 4 times with a remainder of 69.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 3784 from 3853, we get 69.
Take the next digit (7) from the dividend and append it to 69, then repeat: 697 / 946

Moving on to step 6:
If we divide 697 by 946, we get 0 and a remainder of 697.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
Subtracting 0 from 697 leaves us with 697.
Append the next digit (8) from the dividend to 697 and continue with: 6978 / 946

Step 7:
946 goes into 6978 7 times with a remainder of 356.
Record the quotient 7 as the next digit in the result. 
Result so far: 1407.0
Subtract 6622 from 6978 to get 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Going ahead to step 8:
946 goes into 3560 3 times with a remainder of 722.
Record the quotient 3 as the next digit in the result. 
Result so far: 1407.3
The remainder is 722 after subtracting 2838 from 3560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7220, and continue the process.

Advancing to step 9:
The number 946 fits into 7220 7 times, leaving a remainder of 598.
The next digit of our result is 7. 
Result so far: 1407.37
Subtract 6622 from 7220 to get 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

Advancing to step 10:
If we divide 5980 by 946, we get 6 and a remainder of 304.
The next digit of our result is 6. 
Result so far: 1407.376
Subtracting 5676 from 5980 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 11:
If we divide 3040 by 946, we get 3 and a remainder of 202.
The number 3 becomes the next digit in our result. 
Result so far: 1407.3763
Subtracting 2838 from 3040 leaves us with 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Let's proceed to step 12:
If we divide 2020 by 946, we get 2 and a remainder of 128.
The next digit of our result is 2. 
Result so far: 1407.37632
If we take 1892 away from 2020, we end up with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Moving on to step 13:
1280 divided by 946 is 1 with a remainder of 334.
Write down 1 as next digit of the result. 
Result so far: 1407.376321
Subtracting 946 from 1280 leaves us with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

Moving on to step 14:
The number 946 fits into 3340 3 times, leaving a remainder of 502.
Put 3 as the next digit of the answer. 
Result so far: 1407.3763213
Subtracting 2838 from 3340 leaves us with 502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5020, and continue the process.

Advancing to step 15:
If we divide 5020 by 946, we get 5 and a remainder of 290.
The number 5 becomes the next digit in our result. 
Result so far: 1407.37632135
Deduct 4730 from 5020 and we're left with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

After the division, we end up with 1407.37632135 and a remainder of 2.9e-07.