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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 891 · 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. 1.31771 ÷ 89 =
  2. 2.20355 ÷ 96 =
  3. 3.20264 ÷ 96 =
  4. 4.20514 ÷ 98 =
  5. 5.32796 ÷ 98 =
  6. 6.6783 ÷ 8 =
  7. 7.23278 ÷ 89 =
  8. 8.216573 ÷ 897 =
  9. 9.4687 ÷ 8 =
  10. 10.19949 ÷ 97 =
  11. 11.681972 ÷ 998 =
  12. 12.371698 ÷ 897 =
  13. 13.146073 ÷ 897 =
  14. 14.688730 ÷ 897 =
  15. 15.51590 ÷ 89 =
  16. 16.50975 ÷ 88 =
  17. 17.304256 ÷ 897 =
  18. 18.51502 ÷ 98 =
  19. 19.25712 ÷ 89 =
  20. 20.239991 ÷ 988 =
  21. 21.680168 ÷ 989 =
  22. 22.5241 ÷ 96 =
  23. 23.80198 ÷ 88 =
  24. 24.95013 ÷ 96 =
  25. 25.86816 ÷ 988 =
  26. 26.5783 ÷ 8 =
  27. 27.11102 ÷ 96 =
  28. 28.430007 ÷ 989 =
  29. 29.91113 ÷ 98 =
  30. 30.644469 ÷ 989 =
  31. 31.27990 ÷ 97 =
  32. 32.38481 ÷ 89 =
  33. 33.16459 ÷ 998 =
  34. 34.118273 ÷ 897 =
  35. 35.39953 ÷ 96 =
  36. 36.819880 ÷ 997 =
  37. 37.525841 ÷ 997 =
  38. 38.23436 ÷ 97 =
  39. 39.138088 ÷ 989 =
  40. 40.193620 ÷ 997 =

Answer key

  1. 356 rem 87
  2. 212 rem 3
  3. 211 rem 8
  4. 209 rem 32
  5. 334 rem 64
  6. 847 rem 7
  7. 261 rem 49
  8. 241 rem 396
  9. 585 rem 7
  10. 205 rem 64
  11. 683 rem 338
  12. 414 rem 340
  13. 162 rem 759
  14. 767 rem 731
  15. 579 rem 59
  16. 579 rem 23
  17. 339 rem 173
  18. 525 rem 52
  19. 288 rem 80
  20. 242 rem 895
  21. 687 rem 725
  22. 54 rem 57
  23. 911 rem 30
  24. 989 rem 69
  25. 87 rem 860
  26. 722 rem 7
  27. 115 rem 62
  28. 434 rem 781
  29. 929 rem 71
  30. 651 rem 630
  31. 288 rem 54
  32. 432 rem 33
  33. 16 rem 491
  34. 131 rem 766
  35. 416 rem 17
  36. 822 rem 346
  37. 527 rem 422
  38. 241 rem 59
  39. 139 rem 617
  40. 194 rem 202

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