Solve 1928/15

$$\frac { 1928 } { 15 }$$

Evaluate

$$\frac{1928}{15}\approx 128.533333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1928

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1928}\\\end{array}$$

Since 1 is less than 15, use the next digit 9 from dividend 1928 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1928}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1928

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1928}\\\end{array}$$

Find closest multiple of 15 to 19. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 19 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)1928}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}4\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1928

$$\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)1928}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}42\\\end{array}$$

Find closest multiple of 15 to 42. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 42 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{15)}012\phantom{6}\\15\overline{)1928}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}42\\\phantom{15)}\underline{\phantom{9}30\phantom{9}}\\\phantom{15)9}12\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1928

$$\begin{array}{l}\phantom{15)}012\phantom{7}\\15\overline{)1928}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}42\\\phantom{15)}\underline{\phantom{9}30\phantom{9}}\\\phantom{15)9}128\\\end{array}$$

Find closest multiple of 15 to 128. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 128 to get reminder 8. Add 8 to quotient.

$$\begin{array}{l}\phantom{15)}0128\phantom{8}\\15\overline{)1928}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)9}42\\\phantom{15)}\underline{\phantom{9}30\phantom{9}}\\\phantom{15)9}128\\\phantom{15)}\underline{\phantom{9}120\phantom{}}\\\phantom{15)999}8\\\end{array}$$

Since 8 is less than 15, stop the division. The reminder is 8. The topmost line 0128 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 128.

$$\text{Quotient: }128 \text{Reminder: }8$$

Factor

$$\frac{2 ^ {3} \cdot 241}{3 \cdot 5} = 128\frac{8}{15} = 128.53333333333333$$