Solve 16425/1125

$$\frac{ 16425 }{ 1125 }$$

Evaluate

$$\frac{73}{5}=14.6$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16425

$$\begin{array}{l}\phantom{1125)}\phantom{1}\\1125\overline{)16425}\\\end{array}$$

Since 1 is less than 1125, use the next digit 6 from dividend 16425 and add 0 to the quotient

$$\begin{array}{l}\phantom{1125)}0\phantom{2}\\1125\overline{)16425}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16425

$$\begin{array}{l}\phantom{1125)}0\phantom{3}\\1125\overline{)16425}\\\end{array}$$

Since 16 is less than 1125, use the next digit 4 from dividend 16425 and add 0 to the quotient

$$\begin{array}{l}\phantom{1125)}00\phantom{4}\\1125\overline{)16425}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 16425

$$\begin{array}{l}\phantom{1125)}00\phantom{5}\\1125\overline{)16425}\\\end{array}$$

Since 164 is less than 1125, use the next digit 2 from dividend 16425 and add 0 to the quotient

$$\begin{array}{l}\phantom{1125)}000\phantom{6}\\1125\overline{)16425}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 16425

$$\begin{array}{l}\phantom{1125)}000\phantom{7}\\1125\overline{)16425}\\\end{array}$$

Find closest multiple of 1125 to 1642. We see that 1 \times 1125 = 1125 is the nearest. Now subtract 1125 from 1642 to get reminder 517. Add 1 to quotient.

$$\begin{array}{l}\phantom{1125)}0001\phantom{8}\\1125\overline{)16425}\\\phantom{1125)}\underline{\phantom{}1125\phantom{9}}\\\phantom{1125)9}517\\\end{array}$$

Use the 5^{th} digit 5 from dividend 16425

$$\begin{array}{l}\phantom{1125)}0001\phantom{9}\\1125\overline{)16425}\\\phantom{1125)}\underline{\phantom{}1125\phantom{9}}\\\phantom{1125)9}5175\\\end{array}$$

Find closest multiple of 1125 to 5175. We see that 4 \times 1125 = 4500 is the nearest. Now subtract 4500 from 5175 to get reminder 675. Add 4 to quotient.

$$\begin{array}{l}\phantom{1125)}00014\phantom{10}\\1125\overline{)16425}\\\phantom{1125)}\underline{\phantom{}1125\phantom{9}}\\\phantom{1125)9}5175\\\phantom{1125)}\underline{\phantom{9}4500\phantom{}}\\\phantom{1125)99}675\\\end{array}$$

Since 675 is less than 1125, stop the division. The reminder is 675. The topmost line 00014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }675$$

Factor

$$\frac{73}{5} = 14\frac{3}{5} = 14.6$$