Solve 14175/45

$$\frac { 14175 } { 45 }$$

Evaluate

$$315$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14175

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)14175}\\\end{array}$$

Since 1 is less than 45, use the next digit 4 from dividend 14175 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)14175}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14175

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)14175}\\\end{array}$$

Since 14 is less than 45, use the next digit 1 from dividend 14175 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)14175}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 14175

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)14175}\\\end{array}$$

Find closest multiple of 45 to 141. We see that 3 \times 45 = 135 is the nearest. Now subtract 135 from 141 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{45)}003\phantom{6}\\45\overline{)14175}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}6\\\end{array}$$

Use the 4^{th} digit 7 from dividend 14175

$$\begin{array}{l}\phantom{45)}003\phantom{7}\\45\overline{)14175}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}67\\\end{array}$$

Find closest multiple of 45 to 67. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 67 to get reminder 22. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}0031\phantom{8}\\45\overline{)14175}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}67\\\phantom{45)}\underline{\phantom{99}45\phantom{9}}\\\phantom{45)99}22\\\end{array}$$

Use the 5^{th} digit 5 from dividend 14175

$$\begin{array}{l}\phantom{45)}0031\phantom{9}\\45\overline{)14175}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}67\\\phantom{45)}\underline{\phantom{99}45\phantom{9}}\\\phantom{45)99}225\\\end{array}$$

Find closest multiple of 45 to 225. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 225 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}00315\phantom{10}\\45\overline{)14175}\\\phantom{45)}\underline{\phantom{}135\phantom{99}}\\\phantom{45)99}67\\\phantom{45)}\underline{\phantom{99}45\phantom{9}}\\\phantom{45)99}225\\\phantom{45)}\underline{\phantom{99}225\phantom{}}\\\phantom{45)99999}0\\\end{array}$$

Since 0 is less than 45, stop the division. The reminder is 0. The topmost line 00315 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 315.

$$\text{Quotient: }315 \text{Reminder: }0$$

Factor

$$3^{2}\times 5\times 7$$