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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 444 · 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. 1.52085 ÷ 97 =
  2. 2.74866 ÷ 96 =
  3. 3.30154 ÷ 97 =
  4. 4.213162 ÷ 988 =
  5. 5.30759 ÷ 88 =
  6. 6.42224 ÷ 97 =
  7. 7.6159 ÷ 88 =
  8. 8.55100 ÷ 96 =
  9. 9.7111 ÷ 97 =
  10. 10.659488 ÷ 989 =
  11. 11.974410 ÷ 988 =
  12. 12.78980 ÷ 98 =
  13. 13.52977 ÷ 96 =
  14. 14.723179 ÷ 989 =
  15. 15.81539 ÷ 88 =
  16. 16.877 ÷ 8 =
  17. 17.725458 ÷ 997 =
  18. 18.768573 ÷ 998 =
  19. 19.47252 ÷ 98 =
  20. 20.4659 ÷ 98 =
  21. 21.74803 ÷ 989 =
  22. 22.21955 ÷ 88 =
  23. 23.16445 ÷ 97 =
  24. 24.280 ÷ 8 =
  25. 25.21864 ÷ 989 =
  26. 26.51343 ÷ 96 =
  27. 27.12289 ÷ 96 =
  28. 28.24292 ÷ 97 =
  29. 29.12707 ÷ 97 =
  30. 30.31824 ÷ 897 =
  31. 31.815507 ÷ 998 =
  32. 32.86504 ÷ 97 =
  33. 33.677890 ÷ 997 =
  34. 34.259140 ÷ 989 =
  35. 35.74543 ÷ 89 =
  36. 36.184916 ÷ 997 =
  37. 37.228962 ÷ 989 =
  38. 38.42768 ÷ 98 =
  39. 39.1245 ÷ 8 =
  40. 40.34623 ÷ 89 =

Answer key

  1. 536 rem 93
  2. 779 rem 82
  3. 310 rem 84
  4. 215 rem 742
  5. 349 rem 47
  6. 435 rem 29
  7. 69 rem 87
  8. 573 rem 92
  9. 73 rem 30
  10. 666 rem 814
  11. 986 rem 242
  12. 805 rem 90
  13. 551 rem 81
  14. 731 rem 220
  15. 926 rem 51
  16. 109 rem 5
  17. 727 rem 639
  18. 770 rem 113
  19. 482 rem 16
  20. 47 rem 53
  21. 75 rem 628
  22. 249 rem 43
  23. 169 rem 52
  24. 35 rem 0
  25. 22 rem 106
  26. 534 rem 79
  27. 128 rem 1
  28. 250 rem 42
  29. 131 rem 0
  30. 35 rem 429
  31. 817 rem 141
  32. 891 rem 77
  33. 679 rem 927
  34. 262 rem 22
  35. 837 rem 50
  36. 185 rem 471
  37. 231 rem 503
  38. 436 rem 40
  39. 155 rem 5
  40. 389 rem 2

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