171078 ÷ 37 
Our goal is to divide 171078 by 37.

Step 1:
The number 37 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 37

Going ahead to step 2:
37 can be fit into 17 0 times, resulting in a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 37

Advancing to step 3:
The number 37 fits into 171 4 times, leaving a remainder of 23.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 148 from 171 and we're left with 23.
Bring next digit (0) of the dividend behind the 23 and repeat the process: 230 / 37

Moving on to step 4:
37 goes into 230 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
Subtracting 222 from 230 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 37

Step 5:
When dividing 87 by 37, we get 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 462.0
Deduct 74 from 87 and we're left with 13.
Grab the next digit (8) from the dividend, add it to 13, then carry on: 138 / 37

Step 6:
138 divided by 37 is 3 with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 4623.0
If we subtract 111 from 138, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
If we divide 270 by 37, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 4623.7
Subtracting 259 from 270 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
110 divided by 37 is 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 4623.72
Deduct 74 from 110 and we're left with 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 9:
If we divide 360 by 37, we get 9 and a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 4623.729
If we take 333 away from 360, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 10:
When dividing 270 by 37, we get 7 with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 4623.7297
The remainder is 11 after subtracting 259 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
37 goes into 110 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 4623.72972
The remainder is 36 after subtracting 74 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
If we divide 360 by 37, we get 9 and a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 4623.729729
Subtracting 333 from 360 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
The number 37 fits into 270 7 times, leaving a remainder of 11.
The next digit of our result is 7. 
Result so far: 4623.7297297
Deduct 259 from 270 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
110 divided by 37 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 4623.72972972
Subtracting 74 from 110 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 4623.72972972, with a leftover of 3.6e-08.