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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 423 · 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. 1.914546 ÷ 997 =
  2. 2.115058 ÷ 989 =
  3. 3.25516 ÷ 88 =
  4. 4.25043 ÷ 96 =
  5. 5.45219 ÷ 989 =
  6. 6.91134 ÷ 88 =
  7. 7.423097 ÷ 997 =
  8. 8.660 ÷ 8 =
  9. 9.44320 ÷ 88 =
  10. 10.972788 ÷ 897 =
  11. 11.72018 ÷ 96 =
  12. 12.15942 ÷ 89 =
  13. 13.67985 ÷ 88 =
  14. 14.331604 ÷ 997 =
  15. 15.56205 ÷ 97 =
  16. 16.98246 ÷ 89 =
  17. 17.298384 ÷ 997 =
  18. 18.983129 ÷ 897 =
  19. 19.79327 ÷ 98 =
  20. 20.8302 ÷ 8 =
  21. 21.159307 ÷ 897 =
  22. 22.9879 ÷ 8 =
  23. 23.435377 ÷ 997 =
  24. 24.881247 ÷ 989 =
  25. 25.5213 ÷ 89 =
  26. 26.96582 ÷ 89 =
  27. 27.900627 ÷ 997 =
  28. 28.2473 ÷ 89 =
  29. 29.14696 ÷ 97 =
  30. 30.402747 ÷ 897 =
  31. 31.716381 ÷ 997 =
  32. 32.965877 ÷ 997 =
  33. 33.31186 ÷ 97 =
  34. 34.821242 ÷ 997 =
  35. 35.172921 ÷ 988 =
  36. 36.86685 ÷ 88 =
  37. 37.11710 ÷ 89 =
  38. 38.643340 ÷ 989 =
  39. 39.57620 ÷ 98 =
  40. 40.14661 ÷ 97 =

Answer key

  1. 917 rem 297
  2. 116 rem 334
  3. 289 rem 84
  4. 260 rem 83
  5. 45 rem 714
  6. 1035 rem 54
  7. 424 rem 369
  8. 82 rem 4
  9. 503 rem 56
  10. 1084 rem 440
  11. 750 rem 18
  12. 179 rem 11
  13. 772 rem 49
  14. 332 rem 600
  15. 579 rem 42
  16. 1103 rem 79
  17. 299 rem 281
  18. 1096 rem 17
  19. 809 rem 45
  20. 1037 rem 6
  21. 177 rem 538
  22. 1234 rem 7
  23. 436 rem 685
  24. 891 rem 48
  25. 58 rem 51
  26. 1085 rem 17
  27. 903 rem 336
  28. 27 rem 70
  29. 151 rem 49
  30. 448 rem 891
  31. 718 rem 535
  32. 968 rem 781
  33. 321 rem 49
  34. 823 rem 711
  35. 175 rem 21
  36. 985 rem 5
  37. 131 rem 51
  38. 650 rem 490
  39. 587 rem 94
  40. 151 rem 14

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