Solve 3746/45

$$\frac { 3746 } { 45 }$$

Evaluate

$$\frac{3746}{45}\approx 83.244444444$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3746

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)3746}\\\end{array}$$

Since 3 is less than 45, use the next digit 7 from dividend 3746 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)3746}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 3746

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)3746}\\\end{array}$$

Since 37 is less than 45, use the next digit 4 from dividend 3746 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)3746}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3746

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)3746}\\\end{array}$$

Find closest multiple of 45 to 374. We see that 8 \times 45 = 360 is the nearest. Now subtract 360 from 374 to get reminder 14. Add 8 to quotient.

$$\begin{array}{l}\phantom{45)}008\phantom{6}\\45\overline{)3746}\\\phantom{45)}\underline{\phantom{}360\phantom{9}}\\\phantom{45)9}14\\\end{array}$$

Use the 4^{th} digit 6 from dividend 3746

$$\begin{array}{l}\phantom{45)}008\phantom{7}\\45\overline{)3746}\\\phantom{45)}\underline{\phantom{}360\phantom{9}}\\\phantom{45)9}146\\\end{array}$$

Find closest multiple of 45 to 146. We see that 3 \times 45 = 135 is the nearest. Now subtract 135 from 146 to get reminder 11. Add 3 to quotient.

$$\begin{array}{l}\phantom{45)}0083\phantom{8}\\45\overline{)3746}\\\phantom{45)}\underline{\phantom{}360\phantom{9}}\\\phantom{45)9}146\\\phantom{45)}\underline{\phantom{9}135\phantom{}}\\\phantom{45)99}11\\\end{array}$$

Since 11 is less than 45, stop the division. The reminder is 11. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.

$$\text{Quotient: }83 \text{Reminder: }11$$

Factor

$$\frac{2 \cdot 1873}{3 ^ {2} \cdot 5} = 83\frac{11}{45} = 83.24444444444444$$