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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 660 · 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. 1.75329 ÷ 988 =
  2. 2.1691 ÷ 8 =
  3. 3.64951 ÷ 96 =
  4. 4.2983 ÷ 97 =
  5. 5.26605 ÷ 97 =
  6. 6.126662 ÷ 988 =
  7. 7.554871 ÷ 997 =
  8. 8.900811 ÷ 988 =
  9. 9.13396 ÷ 88 =
  10. 10.12904 ÷ 96 =
  11. 11.710371 ÷ 998 =
  12. 12.71755 ÷ 96 =
  13. 13.51413 ÷ 97 =
  14. 14.543319 ÷ 989 =
  15. 15.749398 ÷ 988 =
  16. 16.8164 ÷ 8 =
  17. 17.34026 ÷ 98 =
  18. 18.67972 ÷ 88 =
  19. 19.6530 ÷ 8 =
  20. 20.978967 ÷ 897 =
  21. 21.920047 ÷ 988 =
  22. 22.8518 ÷ 88 =
  23. 23.86333 ÷ 97 =
  24. 24.9427 ÷ 8 =
  25. 25.172823 ÷ 998 =
  26. 26.338489 ÷ 998 =
  27. 27.14311 ÷ 98 =
  28. 28.243719 ÷ 997 =
  29. 29.217267 ÷ 988 =
  30. 30.457785 ÷ 997 =
  31. 31.84158 ÷ 97 =
  32. 32.267614 ÷ 997 =
  33. 33.81679 ÷ 97 =
  34. 34.37450 ÷ 96 =
  35. 35.15434 ÷ 97 =
  36. 36.3300 ÷ 8 =
  37. 37.105743 ÷ 897 =
  38. 38.489015 ÷ 989 =
  39. 39.995920 ÷ 989 =
  40. 40.317350 ÷ 997 =

Answer key

  1. 76 rem 241
  2. 211 rem 3
  3. 676 rem 55
  4. 30 rem 73
  5. 274 rem 27
  6. 128 rem 198
  7. 556 rem 539
  8. 911 rem 743
  9. 152 rem 20
  10. 134 rem 40
  11. 711 rem 793
  12. 747 rem 43
  13. 530 rem 3
  14. 549 rem 358
  15. 758 rem 494
  16. 1020 rem 4
  17. 347 rem 20
  18. 772 rem 36
  19. 816 rem 2
  20. 1091 rem 340
  21. 931 rem 219
  22. 96 rem 70
  23. 890 rem 3
  24. 1178 rem 3
  25. 173 rem 169
  26. 339 rem 167
  27. 146 rem 3
  28. 244 rem 451
  29. 219 rem 895
  30. 459 rem 162
  31. 867 rem 59
  32. 268 rem 418
  33. 842 rem 5
  34. 390 rem 10
  35. 159 rem 11
  36. 412 rem 4
  37. 117 rem 794
  38. 494 rem 449
  39. 1006 rem 986
  40. 318 rem 304

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