Solve 40132:79

$$40132 : 79$$

Evaluate

$$508$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 40132

$$\begin{array}{l}\phantom{79)}\phantom{1}\\79\overline{)40132}\\\end{array}$$

Since 4 is less than 79, use the next digit 0 from dividend 40132 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}0\phantom{2}\\79\overline{)40132}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 40132

$$\begin{array}{l}\phantom{79)}0\phantom{3}\\79\overline{)40132}\\\end{array}$$

Since 40 is less than 79, use the next digit 1 from dividend 40132 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}00\phantom{4}\\79\overline{)40132}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 40132

$$\begin{array}{l}\phantom{79)}00\phantom{5}\\79\overline{)40132}\\\end{array}$$

Find closest multiple of 79 to 401. We see that 5 \times 79 = 395 is the nearest. Now subtract 395 from 401 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{79)}005\phantom{6}\\79\overline{)40132}\\\phantom{79)}\underline{\phantom{}395\phantom{99}}\\\phantom{79)99}6\\\end{array}$$

Use the 4^{th} digit 3 from dividend 40132

$$\begin{array}{l}\phantom{79)}005\phantom{7}\\79\overline{)40132}\\\phantom{79)}\underline{\phantom{}395\phantom{99}}\\\phantom{79)99}63\\\end{array}$$

Since 63 is less than 79, use the next digit 2 from dividend 40132 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}0050\phantom{8}\\79\overline{)40132}\\\phantom{79)}\underline{\phantom{}395\phantom{99}}\\\phantom{79)99}63\\\end{array}$$

Use the 5^{th} digit 2 from dividend 40132

$$\begin{array}{l}\phantom{79)}0050\phantom{9}\\79\overline{)40132}\\\phantom{79)}\underline{\phantom{}395\phantom{99}}\\\phantom{79)99}632\\\end{array}$$

Find closest multiple of 79 to 632. We see that 8 \times 79 = 632 is the nearest. Now subtract 632 from 632 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{79)}00508\phantom{10}\\79\overline{)40132}\\\phantom{79)}\underline{\phantom{}395\phantom{99}}\\\phantom{79)99}632\\\phantom{79)}\underline{\phantom{99}632\phantom{}}\\\phantom{79)99999}0\\\end{array}$$

Since 0 is less than 79, stop the division. The reminder is 0. The topmost line 00508 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 508.

$$\text{Quotient: }508 \text{Reminder: }0$$

Factor

$$2^{2}\times 127$$