Solve 78247div169

$$78247 \div 169$$

Evaluate

$$463$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 78247

$$\begin{array}{l}\phantom{169)}\phantom{1}\\169\overline{)78247}\\\end{array}$$

Since 7 is less than 169, use the next digit 8 from dividend 78247 and add 0 to the quotient

$$\begin{array}{l}\phantom{169)}0\phantom{2}\\169\overline{)78247}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 78247

$$\begin{array}{l}\phantom{169)}0\phantom{3}\\169\overline{)78247}\\\end{array}$$

Since 78 is less than 169, use the next digit 2 from dividend 78247 and add 0 to the quotient

$$\begin{array}{l}\phantom{169)}00\phantom{4}\\169\overline{)78247}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 78247

$$\begin{array}{l}\phantom{169)}00\phantom{5}\\169\overline{)78247}\\\end{array}$$

Find closest multiple of 169 to 782. We see that 4 \times 169 = 676 is the nearest. Now subtract 676 from 782 to get reminder 106. Add 4 to quotient.

$$\begin{array}{l}\phantom{169)}004\phantom{6}\\169\overline{)78247}\\\phantom{169)}\underline{\phantom{}676\phantom{99}}\\\phantom{169)}106\\\end{array}$$

Use the 4^{th} digit 4 from dividend 78247

$$\begin{array}{l}\phantom{169)}004\phantom{7}\\169\overline{)78247}\\\phantom{169)}\underline{\phantom{}676\phantom{99}}\\\phantom{169)}1064\\\end{array}$$

Find closest multiple of 169 to 1064. We see that 6 \times 169 = 1014 is the nearest. Now subtract 1014 from 1064 to get reminder 50. Add 6 to quotient.

$$\begin{array}{l}\phantom{169)}0046\phantom{8}\\169\overline{)78247}\\\phantom{169)}\underline{\phantom{}676\phantom{99}}\\\phantom{169)}1064\\\phantom{169)}\underline{\phantom{}1014\phantom{9}}\\\phantom{169)99}50\\\end{array}$$

Use the 5^{th} digit 7 from dividend 78247

$$\begin{array}{l}\phantom{169)}0046\phantom{9}\\169\overline{)78247}\\\phantom{169)}\underline{\phantom{}676\phantom{99}}\\\phantom{169)}1064\\\phantom{169)}\underline{\phantom{}1014\phantom{9}}\\\phantom{169)99}507\\\end{array}$$

Find closest multiple of 169 to 507. We see that 3 \times 169 = 507 is the nearest. Now subtract 507 from 507 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{169)}00463\phantom{10}\\169\overline{)78247}\\\phantom{169)}\underline{\phantom{}676\phantom{99}}\\\phantom{169)}1064\\\phantom{169)}\underline{\phantom{}1014\phantom{9}}\\\phantom{169)99}507\\\phantom{169)}\underline{\phantom{99}507\phantom{}}\\\phantom{169)99999}0\\\end{array}$$

Since 0 is less than 169, stop the division. The reminder is 0. The topmost line 00463 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 463.

$$\text{Quotient: }463 \text{Reminder: }0$$

Factor

$$463$$