We're dividing 37189 by 78 
We want to divide 37189 by 78.

Let's proceed to step 1:
The number 78 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 78

On to step 2:
37 divided by 78 is 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 78

On to step 3:
The number 78 fits into 371 4 times, leaving a remainder of 59.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 312 from 371 and we're left with 59.
Take the next digit (8) from the dividend and append it to 59, then repeat: 598 / 78

Let's proceed to step 4:
If we divide 598 by 78, we get 7 and a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 47.0
If we subtract 546 from 598, we get 52.
Grab the next digit (9) from the dividend, add it to 52, then carry on: 529 / 78

Moving on to step 5:
529 divided by 78 is 6 with a remainder of 61.
Write down 6 as next digit of the result. 
Result so far: 476.0
If we take 468 away from 529, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 6:
If we divide 610 by 78, we get 7 and a remainder of 64.
Put 7 as the next digit of the answer. 
Result so far: 476.7
Subtracting 546 from 610 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 7:
The number 78 fits into 640 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 476.78
If we take 624 away from 640, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
78 can be fit into 160 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 476.782
Subtract 156 from 160 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 9:
The number 78 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 476.782
The remainder is 40 after subtracting 0 from 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 10:
78 goes into 400 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 476.78205
Subtracting 390 from 400 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.

Moving on to step 11:
100 divided by 78 is 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 476.782051
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
When dividing 220 by 78, we get 2 with a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 476.7820512
Deduct 156 from 220 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 13:
When dividing 640 by 78, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 476.78205128
If we take 624 away from 640, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 476.78205128 with a remainder of 1.6e-08.