Solve 12375div45

$$12375 \div 45$$

Evaluate

$$275$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12375

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)12375}\\\end{array}$$

Since 1 is less than 45, use the next digit 2 from dividend 12375 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)12375}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12375

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)12375}\\\end{array}$$

Since 12 is less than 45, use the next digit 3 from dividend 12375 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)12375}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 12375

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)12375}\\\end{array}$$

Find closest multiple of 45 to 123. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 123 to get reminder 33. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}002\phantom{6}\\45\overline{)12375}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}33\\\end{array}$$

Use the 4^{th} digit 7 from dividend 12375

$$\begin{array}{l}\phantom{45)}002\phantom{7}\\45\overline{)12375}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}337\\\end{array}$$

Find closest multiple of 45 to 337. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 337 to get reminder 22. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}0027\phantom{8}\\45\overline{)12375}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}337\\\phantom{45)}\underline{\phantom{9}315\phantom{9}}\\\phantom{45)99}22\\\end{array}$$

Use the 5^{th} digit 5 from dividend 12375

$$\begin{array}{l}\phantom{45)}0027\phantom{9}\\45\overline{)12375}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}337\\\phantom{45)}\underline{\phantom{9}315\phantom{9}}\\\phantom{45)99}225\\\end{array}$$

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.

$$\begin{array}{l}\phantom{45)}00275\phantom{10}\\45\overline{)12375}\\\phantom{45)}\underline{\phantom{9}90\phantom{99}}\\\phantom{45)9}337\\\phantom{45)}\underline{\phantom{9}315\phantom{9}}\\\phantom{45)99}225\\\phantom{45)}\underline{\phantom{99}225\phantom{}}\\\phantom{45)99999}0\\\end{array}$$

Since 0 is less than 45, stop the division. The reminder is 0. The topmost line 00275 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 275.

$$\text{Quotient: }275 \text{Reminder: }0$$

Factor

$$5^{2}\times 11$$