The problem is to perform the division $7.124 \div 1.6$.

1. Problem Description

The problem is to perform the division $7.124 \div 1.6$.

2. Solution Steps

First, we need to remove the decimal point from the divisor. To do this, we multiply both the divisor and dividend by

1

0. $1.6 \times 10 = 16$

$7.124 \times 10 = 71.24$

So, the problem becomes $71.24 \div 16$.

Now, we perform long division.

$71 \div 16 = 4$ with remainder $7$.

$4 \times 16 = 64$

$71 - 64 = 7$

Bring down the 2, so we have

7

2. $72 \div 16 = 4$ with remainder $8$.

$4 \times 16 = 64$

$72 - 64 = 8$

Bring down the 4, so we have

8

4. $84 \div 16 = 5$ with remainder $4$.

$5 \times 16 = 80$

$84 - 80 = 4$

Since we have a decimal point, we can add a

0. $40 \div 16 = 2$ with remainder $8$.

$2 \times 16 = 32$

$40 - 32 = 8$

Add another

0. $80 \div 16 = 5$ with remainder $0$.

$5 \times 16 = 80$

$80 - 80 = 0$

Putting it all together, we have 4.

4

5

2

5.

3. Final Answer

4.4525