Solve 90317div12

$$90317 \div 12$$

Evaluate

$$\frac{90317}{12}\approx 7526.416666667$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 90317

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)90317}\\\end{array}$$

Since 9 is less than 12, use the next digit 0 from dividend 90317 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)90317}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 90317

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)90317}\\\end{array}$$

Find closest multiple of 12 to 90. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 90 to get reminder 6. Add 7 to quotient.

$$\begin{array}{l}\phantom{12)}07\phantom{4}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}6\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 90317

$$\begin{array}{l}\phantom{12)}07\phantom{5}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}63\\\end{array}$$

Find closest multiple of 12 to 63. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 63 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}075\phantom{6}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{99}}\\\phantom{12)99}3\\\end{array}$$

Use the 4^{th} digit 1 from dividend 90317

$$\begin{array}{l}\phantom{12)}075\phantom{7}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{99}}\\\phantom{12)99}31\\\end{array}$$

Find closest multiple of 12 to 31. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 31 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}0752\phantom{8}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{99}}\\\phantom{12)99}31\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}7\\\end{array}$$

Use the 5^{th} digit 7 from dividend 90317

$$\begin{array}{l}\phantom{12)}0752\phantom{9}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{99}}\\\phantom{12)99}31\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}77\\\end{array}$$

Find closest multiple of 12 to 77. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 77 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}07526\phantom{10}\\12\overline{)90317}\\\phantom{12)}\underline{\phantom{}84\phantom{999}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{99}}\\\phantom{12)99}31\\\phantom{12)}\underline{\phantom{99}24\phantom{9}}\\\phantom{12)999}77\\\phantom{12)}\underline{\phantom{999}72\phantom{}}\\\phantom{12)9999}5\\\end{array}$$

Since 5 is less than 12, stop the division. The reminder is 5. The topmost line 07526 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7526.

$$\text{Quotient: }7526 \text{Reminder: }5$$

Factor

$$\frac{37 \cdot 2441}{2 ^ {2} \cdot 3} = 7526\frac{5}{12} = 7526.416666666667$$