Solve 9937/19

$$\frac { 9937 } { 19 }$$

Evaluate

$$523$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9937

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)9937}\\\end{array}$$

Since 9 is less than 19, use the next digit 9 from dividend 9937 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)9937}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 9937

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)9937}\\\end{array}$$

Find closest multiple of 19 to 99. We see that 5 \times 19 = 95 is the nearest. Now subtract 95 from 99 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{19)}05\phantom{4}\\19\overline{)9937}\\\phantom{19)}\underline{\phantom{}95\phantom{99}}\\\phantom{19)9}4\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 9937

$$\begin{array}{l}\phantom{19)}05\phantom{5}\\19\overline{)9937}\\\phantom{19)}\underline{\phantom{}95\phantom{99}}\\\phantom{19)9}43\\\end{array}$$

Find closest multiple of 19 to 43. We see that 2 \times 19 = 38 is the nearest. Now subtract 38 from 43 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{19)}052\phantom{6}\\19\overline{)9937}\\\phantom{19)}\underline{\phantom{}95\phantom{99}}\\\phantom{19)9}43\\\phantom{19)}\underline{\phantom{9}38\phantom{9}}\\\phantom{19)99}5\\\end{array}$$

Use the 4^{th} digit 7 from dividend 9937

$$\begin{array}{l}\phantom{19)}052\phantom{7}\\19\overline{)9937}\\\phantom{19)}\underline{\phantom{}95\phantom{99}}\\\phantom{19)9}43\\\phantom{19)}\underline{\phantom{9}38\phantom{9}}\\\phantom{19)99}57\\\end{array}$$

Find closest multiple of 19 to 57. We see that 3 \times 19 = 57 is the nearest. Now subtract 57 from 57 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{19)}0523\phantom{8}\\19\overline{)9937}\\\phantom{19)}\underline{\phantom{}95\phantom{99}}\\\phantom{19)9}43\\\phantom{19)}\underline{\phantom{9}38\phantom{9}}\\\phantom{19)99}57\\\phantom{19)}\underline{\phantom{99}57\phantom{}}\\\phantom{19)9999}0\\\end{array}$$

Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 0523 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 523.

$$\text{Quotient: }523 \text{Reminder: }0$$

Factor

$$523$$