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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 55 · 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. 1.46322 ÷ 997 =
  2. 2.28311 ÷ 89 =
  3. 3.830193 ÷ 989 =
  4. 4.4366 ÷ 8 =
  5. 5.785794 ÷ 988 =
  6. 6.24696 ÷ 89 =
  7. 7.70956 ÷ 998 =
  8. 8.50113 ÷ 96 =
  9. 9.187513 ÷ 998 =
  10. 10.382102 ÷ 997 =
  11. 11.83871 ÷ 89 =
  12. 12.56625 ÷ 98 =
  13. 13.974324 ÷ 897 =
  14. 14.395161 ÷ 989 =
  15. 15.94178 ÷ 989 =
  16. 16.321068 ÷ 897 =
  17. 17.969162 ÷ 897 =
  18. 18.92898 ÷ 89 =
  19. 19.846984 ÷ 988 =
  20. 20.842179 ÷ 997 =
  21. 21.1635 ÷ 8 =
  22. 22.973627 ÷ 998 =
  23. 23.6283 ÷ 8 =
  24. 24.235 ÷ 8 =
  25. 25.438714 ÷ 998 =
  26. 26.221796 ÷ 989 =
  27. 27.958750 ÷ 897 =
  28. 28.61285 ÷ 97 =
  29. 29.944128 ÷ 989 =
  30. 30.14711 ÷ 89 =
  31. 31.34054 ÷ 97 =
  32. 32.61279 ÷ 96 =
  33. 33.653608 ÷ 897 =
  34. 34.499301 ÷ 989 =
  35. 35.49544 ÷ 97 =
  36. 36.30783 ÷ 98 =
  37. 37.260509 ÷ 997 =
  38. 38.162005 ÷ 997 =
  39. 39.211750 ÷ 998 =
  40. 40.99507 ÷ 997 =

Answer key

  1. 46 rem 460
  2. 318 rem 9
  3. 839 rem 422
  4. 545 rem 6
  5. 795 rem 334
  6. 277 rem 43
  7. 71 rem 98
  8. 522 rem 1
  9. 187 rem 887
  10. 383 rem 251
  11. 942 rem 33
  12. 577 rem 79
  13. 1086 rem 182
  14. 399 rem 550
  15. 95 rem 223
  16. 357 rem 839
  17. 1080 rem 402
  18. 1043 rem 71
  19. 857 rem 268
  20. 844 rem 711
  21. 204 rem 3
  22. 975 rem 577
  23. 785 rem 3
  24. 29 rem 3
  25. 439 rem 592
  26. 224 rem 260
  27. 1068 rem 754
  28. 631 rem 78
  29. 954 rem 622
  30. 165 rem 26
  31. 351 rem 7
  32. 638 rem 31
  33. 728 rem 592
  34. 504 rem 845
  35. 510 rem 74
  36. 314 rem 11
  37. 261 rem 292
  38. 162 rem 491
  39. 212 rem 174
  40. 99 rem 804

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