Solve 89439div36

$$89439 \div 36$$

Evaluate

$$\frac{29813}{12}\approx 2484.416666667$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 89439

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)89439}\\\end{array}$$

Since 8 is less than 36, use the next digit 9 from dividend 89439 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)89439}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 89439

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)89439}\\\end{array}$$

Find closest multiple of 36 to 89. We see that 2 \times 36 = 72 is the nearest. Now subtract 72 from 89 to get reminder 17. Add 2 to quotient.

$$\begin{array}{l}\phantom{36)}02\phantom{4}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}17\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 89439

$$\begin{array}{l}\phantom{36)}02\phantom{5}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}174\\\end{array}$$

Find closest multiple of 36 to 174. We see that 4 \times 36 = 144 is the nearest. Now subtract 144 from 174 to get reminder 30. Add 4 to quotient.

$$\begin{array}{l}\phantom{36)}024\phantom{6}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}174\\\phantom{36)}\underline{\phantom{}144\phantom{99}}\\\phantom{36)9}30\\\end{array}$$

Use the 4^{th} digit 3 from dividend 89439

$$\begin{array}{l}\phantom{36)}024\phantom{7}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}174\\\phantom{36)}\underline{\phantom{}144\phantom{99}}\\\phantom{36)9}303\\\end{array}$$

Find closest multiple of 36 to 303. We see that 8 \times 36 = 288 is the nearest. Now subtract 288 from 303 to get reminder 15. Add 8 to quotient.

$$\begin{array}{l}\phantom{36)}0248\phantom{8}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}174\\\phantom{36)}\underline{\phantom{}144\phantom{99}}\\\phantom{36)9}303\\\phantom{36)}\underline{\phantom{9}288\phantom{9}}\\\phantom{36)99}15\\\end{array}$$

Use the 5^{th} digit 9 from dividend 89439

$$\begin{array}{l}\phantom{36)}0248\phantom{9}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}174\\\phantom{36)}\underline{\phantom{}144\phantom{99}}\\\phantom{36)9}303\\\phantom{36)}\underline{\phantom{9}288\phantom{9}}\\\phantom{36)99}159\\\end{array}$$

Find closest multiple of 36 to 159. We see that 4 \times 36 = 144 is the nearest. Now subtract 144 from 159 to get reminder 15. Add 4 to quotient.

$$\begin{array}{l}\phantom{36)}02484\phantom{10}\\36\overline{)89439}\\\phantom{36)}\underline{\phantom{}72\phantom{999}}\\\phantom{36)}174\\\phantom{36)}\underline{\phantom{}144\phantom{99}}\\\phantom{36)9}303\\\phantom{36)}\underline{\phantom{9}288\phantom{9}}\\\phantom{36)99}159\\\phantom{36)}\underline{\phantom{99}144\phantom{}}\\\phantom{36)999}15\\\end{array}$$

Since 15 is less than 36, stop the division. The reminder is 15. The topmost line 02484 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2484.

$$\text{Quotient: }2484 \text{Reminder: }15$$

Factor

$$\frac{7 \cdot 4259}{2 ^ {2} \cdot 3} = 2484\frac{5}{12} = 2484.4166666666665$$