Solve 8736:42=

$$8736 : 42 =$$

Evaluate

$$208$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8736

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)8736}\\\end{array}$$

Since 8 is less than 42, use the next digit 7 from dividend 8736 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)8736}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 8736

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)8736}\\\end{array}$$

Find closest multiple of 42 to 87. We see that 2 \times 42 = 84 is the nearest. Now subtract 84 from 87 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{42)}02\phantom{4}\\42\overline{)8736}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)9}3\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 8736

$$\begin{array}{l}\phantom{42)}02\phantom{5}\\42\overline{)8736}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)9}33\\\end{array}$$

Since 33 is less than 42, use the next digit 6 from dividend 8736 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}020\phantom{6}\\42\overline{)8736}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)9}33\\\end{array}$$

Use the 4^{th} digit 6 from dividend 8736

$$\begin{array}{l}\phantom{42)}020\phantom{7}\\42\overline{)8736}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)9}336\\\end{array}$$

Find closest multiple of 42 to 336. We see that 8 \times 42 = 336 is the nearest. Now subtract 336 from 336 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{42)}0208\phantom{8}\\42\overline{)8736}\\\phantom{42)}\underline{\phantom{}84\phantom{99}}\\\phantom{42)9}336\\\phantom{42)}\underline{\phantom{9}336\phantom{}}\\\phantom{42)9999}0\\\end{array}$$

Since 0 is less than 42, stop the division. The reminder is 0. The topmost line 0208 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 208.

$$\text{Quotient: }208 \text{Reminder: }0$$

Factor

$$2^{4}\times 13$$