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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 181 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.646904 ÷ 998 =
  2. 2.71815 ÷ 89 =
  3. 3.7101 ÷ 8 =
  4. 4.6243 ÷ 8 =
  5. 5.4702 ÷ 8 =
  6. 6.37409 ÷ 89 =
  7. 7.280719 ÷ 897 =
  8. 8.967787 ÷ 988 =
  9. 9.52201 ÷ 88 =
  10. 10.463705 ÷ 988 =
  11. 11.56514 ÷ 89 =
  12. 12.28423 ÷ 97 =
  13. 13.43730 ÷ 96 =
  14. 14.67005 ÷ 998 =
  15. 15.28838 ÷ 89 =
  16. 16.294377 ÷ 998 =
  17. 17.170983 ÷ 897 =
  18. 18.11805 ÷ 96 =
  19. 19.514841 ÷ 988 =
  20. 20.503238 ÷ 997 =
  21. 21.57645 ÷ 96 =
  22. 22.50462 ÷ 97 =
  23. 23.901533 ÷ 989 =
  24. 24.499874 ÷ 897 =
  25. 25.482700 ÷ 988 =
  26. 26.537244 ÷ 989 =
  27. 27.804244 ÷ 989 =
  28. 28.9390 ÷ 8 =
  29. 29.37383 ÷ 96 =
  30. 30.103825 ÷ 988 =
  31. 31.437846 ÷ 998 =
  32. 32.952570 ÷ 988 =
  33. 33.935850 ÷ 897 =
  34. 34.59760 ÷ 97 =
  35. 35.792445 ÷ 997 =
  36. 36.33228 ÷ 998 =
  37. 37.62506 ÷ 97 =
  38. 38.81425 ÷ 998 =
  39. 39.8138 ÷ 97 =
  40. 40.69136 ÷ 97 =

Answer key

  1. 648 rem 200
  2. 806 rem 81
  3. 887 rem 5
  4. 780 rem 3
  5. 587 rem 6
  6. 420 rem 29
  7. 312 rem 855
  8. 979 rem 535
  9. 593 rem 17
  10. 469 rem 333
  11. 634 rem 88
  12. 293 rem 2
  13. 455 rem 50
  14. 67 rem 139
  15. 324 rem 2
  16. 294 rem 965
  17. 190 rem 553
  18. 122 rem 93
  19. 521 rem 93
  20. 504 rem 750
  21. 600 rem 45
  22. 520 rem 22
  23. 911 rem 554
  24. 557 rem 245
  25. 488 rem 556
  26. 543 rem 217
  27. 813 rem 187
  28. 1173 rem 6
  29. 389 rem 39
  30. 105 rem 85
  31. 438 rem 722
  32. 964 rem 138
  33. 1043 rem 279
  34. 616 rem 8
  35. 794 rem 827
  36. 33 rem 294
  37. 644 rem 38
  38. 81 rem 587
  39. 83 rem 87
  40. 712 rem 72

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