Solve 3654div42

$$3654 \div 42$$

Evaluate

$$87$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3654

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)3654}\\\end{array}$$

Since 3 is less than 42, use the next digit 6 from dividend 3654 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)3654}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3654

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)3654}\\\end{array}$$

Since 36 is less than 42, use the next digit 5 from dividend 3654 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)3654}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3654

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)3654}\\\end{array}$$

Find closest multiple of 42 to 365. We see that 8 \times 42 = 336 is the nearest. Now subtract 336 from 365 to get reminder 29. Add 8 to quotient.

$$\begin{array}{l}\phantom{42)}008\phantom{6}\\42\overline{)3654}\\\phantom{42)}\underline{\phantom{}336\phantom{9}}\\\phantom{42)9}29\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3654

$$\begin{array}{l}\phantom{42)}008\phantom{7}\\42\overline{)3654}\\\phantom{42)}\underline{\phantom{}336\phantom{9}}\\\phantom{42)9}294\\\end{array}$$

Find closest multiple of 42 to 294. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 294 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}0087\phantom{8}\\42\overline{)3654}\\\phantom{42)}\underline{\phantom{}336\phantom{9}}\\\phantom{42)9}294\\\phantom{42)}\underline{\phantom{9}294\phantom{}}\\\phantom{42)9999}0\\\end{array}$$

Since 0 is less than 42, stop the division. The reminder is 0. The topmost line 0087 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 87.

$$\text{Quotient: }87 \text{Reminder: }0$$

Factor

$$3\times 29$$