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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 861 · 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. 1.34061 ÷ 97 =
  2. 2.728464 ÷ 998 =
  3. 3.72349 ÷ 88 =
  4. 4.85247 ÷ 97 =
  5. 5.329894 ÷ 997 =
  6. 6.88456 ÷ 997 =
  7. 7.83303 ÷ 89 =
  8. 8.724824 ÷ 997 =
  9. 9.24050 ÷ 89 =
  10. 10.65518 ÷ 97 =
  11. 11.28445 ÷ 89 =
  12. 12.257420 ÷ 997 =
  13. 13.83545 ÷ 98 =
  14. 14.37767 ÷ 88 =
  15. 15.5688 ÷ 8 =
  16. 16.1591 ÷ 8 =
  17. 17.3115 ÷ 8 =
  18. 18.47675 ÷ 89 =
  19. 19.990027 ÷ 897 =
  20. 20.288 ÷ 8 =
  21. 21.108411 ÷ 988 =
  22. 22.19696 ÷ 88 =
  23. 23.29920 ÷ 98 =
  24. 24.609449 ÷ 897 =
  25. 25.4960 ÷ 8 =
  26. 26.63250 ÷ 97 =
  27. 27.3866 ÷ 8 =
  28. 28.514 ÷ 8 =
  29. 29.46383 ÷ 98 =
  30. 30.80973 ÷ 897 =
  31. 31.59187 ÷ 97 =
  32. 32.7111 ÷ 8 =
  33. 33.70585 ÷ 988 =
  34. 34.105900 ÷ 998 =
  35. 35.48798 ÷ 96 =
  36. 36.820383 ÷ 989 =
  37. 37.982790 ÷ 897 =
  38. 38.39909 ÷ 96 =
  39. 39.931391 ÷ 998 =
  40. 40.288230 ÷ 998 =

Answer key

  1. 351 rem 14
  2. 729 rem 922
  3. 822 rem 13
  4. 878 rem 81
  5. 330 rem 884
  6. 88 rem 720
  7. 935 rem 88
  8. 727 rem 5
  9. 270 rem 20
  10. 675 rem 43
  11. 319 rem 54
  12. 258 rem 194
  13. 852 rem 49
  14. 429 rem 15
  15. 711 rem 0
  16. 198 rem 7
  17. 389 rem 3
  18. 535 rem 60
  19. 1103 rem 636
  20. 36 rem 0
  21. 109 rem 719
  22. 223 rem 72
  23. 305 rem 30
  24. 679 rem 386
  25. 620 rem 0
  26. 652 rem 6
  27. 483 rem 2
  28. 64 rem 2
  29. 473 rem 29
  30. 90 rem 243
  31. 610 rem 17
  32. 888 rem 7
  33. 71 rem 437
  34. 106 rem 112
  35. 508 rem 30
  36. 829 rem 502
  37. 1095 rem 575
  38. 415 rem 69
  39. 933 rem 257
  40. 288 rem 806

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