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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 166 · 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. 1.95868 ÷ 96 =
  2. 2.191341 ÷ 997 =
  3. 3.9195 ÷ 8 =
  4. 4.17877 ÷ 96 =
  5. 5.43359 ÷ 97 =
  6. 6.771695 ÷ 989 =
  7. 7.904322 ÷ 997 =
  8. 8.40301 ÷ 98 =
  9. 9.25685 ÷ 88 =
  10. 10.491693 ÷ 988 =
  11. 11.389944 ÷ 997 =
  12. 12.93843 ÷ 97 =
  13. 13.277271 ÷ 988 =
  14. 14.5663 ÷ 8 =
  15. 15.158204 ÷ 997 =
  16. 16.68810 ÷ 89 =
  17. 17.131123 ÷ 998 =
  18. 18.43061 ÷ 96 =
  19. 19.755312 ÷ 989 =
  20. 20.450657 ÷ 897 =
  21. 21.279578 ÷ 998 =
  22. 22.487263 ÷ 989 =
  23. 23.81804 ÷ 89 =
  24. 24.57952 ÷ 88 =
  25. 25.20036 ÷ 88 =
  26. 26.227268 ÷ 997 =
  27. 27.77902 ÷ 98 =
  28. 28.39704 ÷ 98 =
  29. 29.628948 ÷ 897 =
  30. 30.27663 ÷ 96 =
  31. 31.23884 ÷ 98 =
  32. 32.82774 ÷ 96 =
  33. 33.22028 ÷ 98 =
  34. 34.463931 ÷ 997 =
  35. 35.913113 ÷ 998 =
  36. 36.52476 ÷ 98 =
  37. 37.62141 ÷ 97 =
  38. 38.64675 ÷ 98 =
  39. 39.80461 ÷ 97 =
  40. 40.577829 ÷ 997 =

Answer key

  1. 998 rem 60
  2. 191 rem 914
  3. 1149 rem 3
  4. 186 rem 21
  5. 447 rem 0
  6. 780 rem 275
  7. 907 rem 43
  8. 411 rem 23
  9. 291 rem 77
  10. 497 rem 657
  11. 391 rem 117
  12. 967 rem 44
  13. 280 rem 631
  14. 707 rem 7
  15. 158 rem 678
  16. 773 rem 13
  17. 131 rem 385
  18. 448 rem 53
  19. 763 rem 705
  20. 502 rem 363
  21. 280 rem 138
  22. 492 rem 675
  23. 919 rem 13
  24. 658 rem 48
  25. 227 rem 60
  26. 227 rem 949
  27. 794 rem 90
  28. 405 rem 14
  29. 701 rem 151
  30. 288 rem 15
  31. 243 rem 70
  32. 862 rem 22
  33. 224 rem 76
  34. 465 rem 326
  35. 914 rem 941
  36. 535 rem 46
  37. 640 rem 61
  38. 659 rem 93
  39. 829 rem 48
  40. 579 rem 566

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