Solve 1425div16

$$1425 \div 16$$

Evaluate

$$\frac{1425}{16}=89.0625$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1425

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1425}\\\end{array}$$

Since 1 is less than 16, use the next digit 4 from dividend 1425 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1425}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 1425

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1425}\\\end{array}$$

Since 14 is less than 16, use the next digit 2 from dividend 1425 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)1425}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1425

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)1425}\\\end{array}$$

Find closest multiple of 16 to 142. We see that 8 \times 16 = 128 is the nearest. Now subtract 128 from 142 to get reminder 14. Add 8 to quotient.

$$\begin{array}{l}\phantom{16)}008\phantom{6}\\16\overline{)1425}\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)9}14\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1425

$$\begin{array}{l}\phantom{16)}008\phantom{7}\\16\overline{)1425}\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)9}145\\\end{array}$$

Find closest multiple of 16 to 145. We see that 9 \times 16 = 144 is the nearest. Now subtract 144 from 145 to get reminder 1. Add 9 to quotient.

$$\begin{array}{l}\phantom{16)}0089\phantom{8}\\16\overline{)1425}\\\phantom{16)}\underline{\phantom{}128\phantom{9}}\\\phantom{16)9}145\\\phantom{16)}\underline{\phantom{9}144\phantom{}}\\\phantom{16)999}1\\\end{array}$$

Since 1 is less than 16, stop the division. The reminder is 1. The topmost line 0089 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 89.

$$\text{Quotient: }89 \text{Reminder: }1$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 19}{2 ^ {4}} = 89\frac{1}{16} = 89.0625$$