Solve 98694div75

$$98694 \div 75$$

Evaluate

$$\frac{32898}{25}=1315.92$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 98694

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)98694}\\\end{array}$$

Since 9 is less than 75, use the next digit 8 from dividend 98694 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)98694}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 98694

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)98694}\\\end{array}$$

Find closest multiple of 75 to 98. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 98 to get reminder 23. Add 1 to quotient.

$$\begin{array}{l}\phantom{75)}01\phantom{4}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}23\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 98694

$$\begin{array}{l}\phantom{75)}01\phantom{5}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}236\\\end{array}$$

Find closest multiple of 75 to 236. We see that 3 \times 75 = 225 is the nearest. Now subtract 225 from 236 to get reminder 11. Add 3 to quotient.

$$\begin{array}{l}\phantom{75)}013\phantom{6}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}236\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}11\\\end{array}$$

Use the 4^{th} digit 9 from dividend 98694

$$\begin{array}{l}\phantom{75)}013\phantom{7}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}236\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}119\\\end{array}$$

Find closest multiple of 75 to 119. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 119 to get reminder 44. Add 1 to quotient.

$$\begin{array}{l}\phantom{75)}0131\phantom{8}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}236\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}119\\\phantom{75)}\underline{\phantom{99}75\phantom{9}}\\\phantom{75)99}44\\\end{array}$$

Use the 5^{th} digit 4 from dividend 98694

$$\begin{array}{l}\phantom{75)}0131\phantom{9}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}236\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}119\\\phantom{75)}\underline{\phantom{99}75\phantom{9}}\\\phantom{75)99}444\\\end{array}$$

Find closest multiple of 75 to 444. We see that 5 \times 75 = 375 is the nearest. Now subtract 375 from 444 to get reminder 69. Add 5 to quotient.

$$\begin{array}{l}\phantom{75)}01315\phantom{10}\\75\overline{)98694}\\\phantom{75)}\underline{\phantom{}75\phantom{999}}\\\phantom{75)}236\\\phantom{75)}\underline{\phantom{}225\phantom{99}}\\\phantom{75)9}119\\\phantom{75)}\underline{\phantom{99}75\phantom{9}}\\\phantom{75)99}444\\\phantom{75)}\underline{\phantom{99}375\phantom{}}\\\phantom{75)999}69\\\end{array}$$

Since 69 is less than 75, stop the division. The reminder is 69. The topmost line 01315 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1315.

$$\text{Quotient: }1315 \text{Reminder: }69$$

Factor

$$\frac{2 \cdot 3 \cdot 5483}{5 ^ {2}} = 1315\frac{23}{25} = 1315.92$$