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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 354 · 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. 1.101539 ÷ 997 =
  2. 2.272959 ÷ 988 =
  3. 3.38040 ÷ 89 =
  4. 4.5120 ÷ 96 =
  5. 5.32182 ÷ 89 =
  6. 6.4312 ÷ 98 =
  7. 7.37774 ÷ 88 =
  8. 8.94153 ÷ 89 =
  9. 9.27226 ÷ 98 =
  10. 10.65716 ÷ 97 =
  11. 11.9806 ÷ 89 =
  12. 12.18279 ÷ 98 =
  13. 13.29631 ÷ 97 =
  14. 14.341011 ÷ 997 =
  15. 15.27117 ÷ 98 =
  16. 16.590657 ÷ 989 =
  17. 17.14961 ÷ 988 =
  18. 18.31616 ÷ 88 =
  19. 19.169097 ÷ 998 =
  20. 20.40396 ÷ 96 =
  21. 21.622535 ÷ 997 =
  22. 22.29198 ÷ 897 =
  23. 23.35578 ÷ 998 =
  24. 24.146456 ÷ 989 =
  25. 25.335 ÷ 8 =
  26. 26.284738 ÷ 897 =
  27. 27.419760 ÷ 997 =
  28. 28.498865 ÷ 897 =
  29. 29.144810 ÷ 897 =
  30. 30.15148 ÷ 88 =
  31. 31.37398 ÷ 88 =
  32. 32.937447 ÷ 988 =
  33. 33.609241 ÷ 989 =
  34. 34.85383 ÷ 97 =
  35. 35.461571 ÷ 989 =
  36. 36.69527 ÷ 97 =
  37. 37.22653 ÷ 97 =
  38. 38.457791 ÷ 988 =
  39. 39.244424 ÷ 897 =
  40. 40.969681 ÷ 989 =

Answer key

  1. 101 rem 842
  2. 276 rem 271
  3. 427 rem 37
  4. 53 rem 32
  5. 361 rem 53
  6. 44 rem 0
  7. 429 rem 22
  8. 1057 rem 80
  9. 277 rem 80
  10. 677 rem 47
  11. 110 rem 16
  12. 186 rem 51
  13. 305 rem 46
  14. 342 rem 37
  15. 276 rem 69
  16. 597 rem 224
  17. 15 rem 141
  18. 359 rem 24
  19. 169 rem 435
  20. 420 rem 76
  21. 624 rem 407
  22. 32 rem 494
  23. 35 rem 648
  24. 148 rem 84
  25. 41 rem 7
  26. 317 rem 389
  27. 421 rem 23
  28. 556 rem 133
  29. 161 rem 393
  30. 172 rem 12
  31. 424 rem 86
  32. 948 rem 823
  33. 616 rem 17
  34. 880 rem 23
  35. 466 rem 697
  36. 716 rem 75
  37. 233 rem 52
  38. 463 rem 347
  39. 272 rem 440
  40. 980 rem 461

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