Dividing Decimals - Steps, Examples, and Diagrams - Free Printable

Let’s solve the problem step by step.

We are dividing 4.48 by 1.6.

Step 1: Make the divisor (1.6) a whole number.
To do that, multiply both the divisor and the dividend by 10.
→ 1.6 × 10 = 16
→ 4.48 × 10 = 44.80

Now we’re dividing 44.80 by 16.

Step 2: Do the long division.

Divide 44 by 16 → 16 goes into 44 two times (because 16×2=32).
Write 2 above the first 4 in 44.80.

Subtract: 44 - 32 = 12.

Bring down the next digit, which is 8 → now we have 128.

Divide 128 by 16 → 16×8=128 exactly.

Write 8 after the decimal point in the quotient.

So far, our quotient is 2.8.

There’s still a .0 at the end of 44.80 — bring down the 0 → 00.

16 goes into 0 zero times → write 0.

Remainder is 0.

So the full quotient is 2.80, but we can drop the trailing zero → 2.8.

Step 3: Place the decimal point correctly.
In the original adjusted dividend (44.80), the decimal was between the second 4 and the 8.
So in the quotient, we place the decimal directly above that → between the 2 and the 8 → giving us 2.8.

Final check:
Multiply 1.6 × 2.8 to verify.

1.6 × 2 = 3.2
1.6 × 0.8 = 1.28
Add them: 3.2 + 1.28 = 4.48 ✔

Perfect match.

Final Answer:
2.8