Solve 6969div16

$$6969 \div 16$$

Evaluate

$$\frac{6969}{16}=435.5625$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6969

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)6969}\\\end{array}$$

Since 6 is less than 16, use the next digit 9 from dividend 6969 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)6969}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6969

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)6969}\\\end{array}$$

Find closest multiple of 16 to 69. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 69 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{16)}04\phantom{4}\\16\overline{)6969}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)9}5\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 6969

$$\begin{array}{l}\phantom{16)}04\phantom{5}\\16\overline{)6969}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)9}56\\\end{array}$$

Find closest multiple of 16 to 56. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 56 to get reminder 8. Add 3 to quotient.

$$\begin{array}{l}\phantom{16)}043\phantom{6}\\16\overline{)6969}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)9}56\\\phantom{16)}\underline{\phantom{9}48\phantom{9}}\\\phantom{16)99}8\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6969

$$\begin{array}{l}\phantom{16)}043\phantom{7}\\16\overline{)6969}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)9}56\\\phantom{16)}\underline{\phantom{9}48\phantom{9}}\\\phantom{16)99}89\\\end{array}$$

Find closest multiple of 16 to 89. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 89 to get reminder 9. Add 5 to quotient.

$$\begin{array}{l}\phantom{16)}0435\phantom{8}\\16\overline{)6969}\\\phantom{16)}\underline{\phantom{}64\phantom{99}}\\\phantom{16)9}56\\\phantom{16)}\underline{\phantom{9}48\phantom{9}}\\\phantom{16)99}89\\\phantom{16)}\underline{\phantom{99}80\phantom{}}\\\phantom{16)999}9\\\end{array}$$

Since 9 is less than 16, stop the division. The reminder is 9. The topmost line 0435 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 435.

$$\text{Quotient: }435 \text{Reminder: }9$$

Factor

$$\frac{3 \cdot 23 \cdot 101}{2 ^ {4}} = 435\frac{9}{16} = 435.5625$$