Solve 1752/46

$$\frac { 1752 } { 46 }$$

Evaluate

$$\frac{876}{23}\approx 38.086956522$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1752

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)1752}\\\end{array}$$

Since 1 is less than 46, use the next digit 7 from dividend 1752 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)1752}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1752

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)1752}\\\end{array}$$

Since 17 is less than 46, use the next digit 5 from dividend 1752 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)1752}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1752

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)1752}\\\end{array}$$

Find closest multiple of 46 to 175. We see that 3 \times 46 = 138 is the nearest. Now subtract 138 from 175 to get reminder 37. Add 3 to quotient.

$$\begin{array}{l}\phantom{46)}003\phantom{6}\\46\overline{)1752}\\\phantom{46)}\underline{\phantom{}138\phantom{9}}\\\phantom{46)9}37\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1752

$$\begin{array}{l}\phantom{46)}003\phantom{7}\\46\overline{)1752}\\\phantom{46)}\underline{\phantom{}138\phantom{9}}\\\phantom{46)9}372\\\end{array}$$

Find closest multiple of 46 to 372. We see that 8 \times 46 = 368 is the nearest. Now subtract 368 from 372 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{46)}0038\phantom{8}\\46\overline{)1752}\\\phantom{46)}\underline{\phantom{}138\phantom{9}}\\\phantom{46)9}372\\\phantom{46)}\underline{\phantom{9}368\phantom{}}\\\phantom{46)999}4\\\end{array}$$

Since 4 is less than 46, stop the division. The reminder is 4. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 73}{23} = 38\frac{2}{23} = 38.08695652173913$$