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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 972 · 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. 1.57103 ÷ 88 =
  2. 2.86893 ÷ 96 =
  3. 3.45818 ÷ 988 =
  4. 4.7755 ÷ 8 =
  5. 5.9990 ÷ 89 =
  6. 6.5543 ÷ 98 =
  7. 7.368320 ÷ 997 =
  8. 8.1333 ÷ 8 =
  9. 9.1596 ÷ 8 =
  10. 10.57410 ÷ 897 =
  11. 11.553669 ÷ 897 =
  12. 12.748075 ÷ 998 =
  13. 13.366899 ÷ 997 =
  14. 14.56647 ÷ 88 =
  15. 15.42964 ÷ 98 =
  16. 16.792033 ÷ 988 =
  17. 17.49363 ÷ 96 =
  18. 18.563233 ÷ 998 =
  19. 19.58189 ÷ 89 =
  20. 20.892645 ÷ 897 =
  21. 21.65624 ÷ 98 =
  22. 22.9784 ÷ 8 =
  23. 23.383597 ÷ 897 =
  24. 24.2148 ÷ 8 =
  25. 25.4526 ÷ 88 =
  26. 26.836115 ÷ 998 =
  27. 27.11802 ÷ 97 =
  28. 28.554059 ÷ 989 =
  29. 29.162975 ÷ 988 =
  30. 30.20916 ÷ 89 =
  31. 31.7459 ÷ 8 =
  32. 32.49874 ÷ 89 =
  33. 33.193751 ÷ 988 =
  34. 34.27456 ÷ 97 =
  35. 35.35915 ÷ 96 =
  36. 36.88841 ÷ 98 =
  37. 37.354584 ÷ 897 =
  38. 38.387830 ÷ 988 =
  39. 39.4920 ÷ 98 =
  40. 40.537069 ÷ 998 =

Answer key

  1. 648 rem 79
  2. 905 rem 13
  3. 46 rem 370
  4. 969 rem 3
  5. 112 rem 22
  6. 56 rem 55
  7. 369 rem 427
  8. 166 rem 5
  9. 199 rem 4
  10. 64 rem 2
  11. 617 rem 220
  12. 749 rem 573
  13. 368 rem 3
  14. 643 rem 63
  15. 438 rem 40
  16. 801 rem 645
  17. 514 rem 19
  18. 564 rem 361
  19. 653 rem 72
  20. 995 rem 130
  21. 669 rem 62
  22. 1223 rem 0
  23. 427 rem 578
  24. 268 rem 4
  25. 51 rem 38
  26. 837 rem 789
  27. 121 rem 65
  28. 560 rem 219
  29. 164 rem 943
  30. 235 rem 1
  31. 932 rem 3
  32. 560 rem 34
  33. 196 rem 103
  34. 283 rem 5
  35. 374 rem 11
  36. 906 rem 53
  37. 395 rem 269
  38. 392 rem 534
  39. 50 rem 20
  40. 538 rem 145

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