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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 467 · 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. 1.2920 ÷ 8 =
  2. 2.18017 ÷ 88 =
  3. 3.61512 ÷ 988 =
  4. 4.472160 ÷ 998 =
  5. 5.723185 ÷ 997 =
  6. 6.30806 ÷ 989 =
  7. 7.52735 ÷ 98 =
  8. 8.768133 ÷ 998 =
  9. 9.491562 ÷ 988 =
  10. 10.916166 ÷ 997 =
  11. 11.86482 ÷ 96 =
  12. 12.744028 ÷ 998 =
  13. 13.716527 ÷ 897 =
  14. 14.409271 ÷ 897 =
  15. 15.90140 ÷ 997 =
  16. 16.181555 ÷ 897 =
  17. 17.944519 ÷ 989 =
  18. 18.845593 ÷ 989 =
  19. 19.537719 ÷ 998 =
  20. 20.18652 ÷ 98 =
  21. 21.29863 ÷ 97 =
  22. 22.29963 ÷ 97 =
  23. 23.19897 ÷ 988 =
  24. 24.41624 ÷ 89 =
  25. 25.705063 ÷ 997 =
  26. 26.224850 ÷ 998 =
  27. 27.167881 ÷ 998 =
  28. 28.789656 ÷ 989 =
  29. 29.52334 ÷ 998 =
  30. 30.9072 ÷ 8 =
  31. 31.33365 ÷ 98 =
  32. 32.62329 ÷ 89 =
  33. 33.501461 ÷ 988 =
  34. 34.939312 ÷ 989 =
  35. 35.48972 ÷ 989 =
  36. 36.58860 ÷ 89 =
  37. 37.92562 ÷ 96 =
  38. 38.228069 ÷ 989 =
  39. 39.4366 ÷ 8 =
  40. 40.60173 ÷ 89 =

Answer key

  1. 365 rem 0
  2. 204 rem 65
  3. 62 rem 256
  4. 473 rem 106
  5. 725 rem 360
  6. 31 rem 147
  7. 538 rem 11
  8. 769 rem 671
  9. 497 rem 526
  10. 918 rem 920
  11. 900 rem 82
  12. 745 rem 518
  13. 798 rem 721
  14. 456 rem 239
  15. 90 rem 410
  16. 202 rem 361
  17. 955 rem 24
  18. 854 rem 987
  19. 538 rem 795
  20. 190 rem 32
  21. 307 rem 84
  22. 308 rem 87
  23. 20 rem 137
  24. 467 rem 61
  25. 707 rem 184
  26. 225 rem 300
  27. 168 rem 217
  28. 798 rem 434
  29. 52 rem 438
  30. 1134 rem 0
  31. 340 rem 45
  32. 700 rem 29
  33. 507 rem 545
  34. 949 rem 751
  35. 49 rem 511
  36. 661 rem 31
  37. 964 rem 18
  38. 230 rem 599
  39. 545 rem 6
  40. 676 rem 9

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