Solve 2071:19=

$$2071 : 19 =$$

Evaluate

$$109$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2071

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)2071}\\\end{array}$$

Since 2 is less than 19, use the next digit 0 from dividend 2071 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)2071}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2071

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)2071}\\\end{array}$$

Find closest multiple of 19 to 20. We see that 1 \times 19 = 19 is the nearest. Now subtract 19 from 20 to get reminder 1. Add 1 to quotient.

$$\begin{array}{l}\phantom{19)}01\phantom{4}\\19\overline{)2071}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}1\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 2071

$$\begin{array}{l}\phantom{19)}01\phantom{5}\\19\overline{)2071}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}17\\\end{array}$$

Since 17 is less than 19, use the next digit 1 from dividend 2071 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}010\phantom{6}\\19\overline{)2071}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}17\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2071

$$\begin{array}{l}\phantom{19)}010\phantom{7}\\19\overline{)2071}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}171\\\end{array}$$

Find closest multiple of 19 to 171. We see that 9 \times 19 = 171 is the nearest. Now subtract 171 from 171 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{19)}0109\phantom{8}\\19\overline{)2071}\\\phantom{19)}\underline{\phantom{}19\phantom{99}}\\\phantom{19)9}171\\\phantom{19)}\underline{\phantom{9}171\phantom{}}\\\phantom{19)9999}0\\\end{array}$$

Since 0 is less than 19, stop the division. The reminder is 0. The topmost line 0109 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 109.

$$\text{Quotient: }109 \text{Reminder: }0$$

Factor

$$109$$