Solve 9756:18

$$9756 : 18$$

Evaluate

$$542$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9756

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)9756}\\\end{array}$$

Since 9 is less than 18, use the next digit 7 from dividend 9756 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)9756}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 9756

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)9756}\\\end{array}$$

Find closest multiple of 18 to 97. We see that 5 \times 18 = 90 is the nearest. Now subtract 90 from 97 to get reminder 7. Add 5 to quotient.

$$\begin{array}{l}\phantom{18)}05\phantom{4}\\18\overline{)9756}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}7\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 9756

$$\begin{array}{l}\phantom{18)}05\phantom{5}\\18\overline{)9756}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}75\\\end{array}$$

Find closest multiple of 18 to 75. We see that 4 \times 18 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{18)}054\phantom{6}\\18\overline{)9756}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}75\\\phantom{18)}\underline{\phantom{9}72\phantom{9}}\\\phantom{18)99}3\\\end{array}$$

Use the 4^{th} digit 6 from dividend 9756

$$\begin{array}{l}\phantom{18)}054\phantom{7}\\18\overline{)9756}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}75\\\phantom{18)}\underline{\phantom{9}72\phantom{9}}\\\phantom{18)99}36\\\end{array}$$

Find closest multiple of 18 to 36. We see that 2 \times 18 = 36 is the nearest. Now subtract 36 from 36 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{18)}0542\phantom{8}\\18\overline{)9756}\\\phantom{18)}\underline{\phantom{}90\phantom{99}}\\\phantom{18)9}75\\\phantom{18)}\underline{\phantom{9}72\phantom{9}}\\\phantom{18)99}36\\\phantom{18)}\underline{\phantom{99}36\phantom{}}\\\phantom{18)9999}0\\\end{array}$$

Since 0 is less than 18, stop the division. The reminder is 0. The topmost line 0542 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 542.

$$\text{Quotient: }542 \text{Reminder: }0$$

Factor

$$2\times 271$$