We divide 154 by 37
We want to figure out the number of times 154 can be divided by 37.

Advancing to 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
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 37

Let's proceed to step 2:
When dividing 15 by 37, we get 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 37

Let's proceed to step 3:
154 divided by 37 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 148 from 154 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 4:
37 can be fit into 60 1 times, resulting in a remainder of 23.
The next digit of our result is 1. 
Result so far: 4.1
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 5:
The number 37 fits into 230 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 4.16
The remainder is 8 after subtracting 222 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 6:
When dividing 80 by 37, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 4.162
Subtract 74 from 80 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
The number 37 fits into 60 1 times, leaving a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 4.1621
The remainder is 23 after subtracting 37 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 8:
37 goes into 230 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 4.16216
If we subtract 222 from 230, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
80 divided by 37 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 4.162162
Subtract 74 from 80 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
If we divide 60 by 37, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 4.1621621
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 11:
When dividing 230 by 37, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 4.16216216
Subtracting 222 from 230 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 4.16216216 with a remainder of 8e-09.