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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 126 · 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. 1.157691 ÷ 989 =
  2. 2.26318 ÷ 98 =
  3. 3.166394 ÷ 897 =
  4. 4.64359 ÷ 96 =
  5. 5.32251 ÷ 997 =
  6. 6.457601 ÷ 989 =
  7. 7.219437 ÷ 988 =
  8. 8.207 ÷ 8 =
  9. 9.480664 ÷ 897 =
  10. 10.44212 ÷ 98 =
  11. 11.935604 ÷ 989 =
  12. 12.481344 ÷ 998 =
  13. 13.303053 ÷ 997 =
  14. 14.20053 ÷ 88 =
  15. 15.38797 ÷ 988 =
  16. 16.62354 ÷ 89 =
  17. 17.107407 ÷ 988 =
  18. 18.614532 ÷ 997 =
  19. 19.55787 ÷ 97 =
  20. 20.346549 ÷ 989 =
  21. 21.304977 ÷ 998 =
  22. 22.19056 ÷ 97 =
  23. 23.39171 ÷ 998 =
  24. 24.94149 ÷ 96 =
  25. 25.4915 ÷ 8 =
  26. 26.19972 ÷ 97 =
  27. 27.983665 ÷ 989 =
  28. 28.728325 ÷ 997 =
  29. 29.93573 ÷ 98 =
  30. 30.41494 ÷ 988 =
  31. 31.49019 ÷ 88 =
  32. 32.8048 ÷ 8 =
  33. 33.979943 ÷ 989 =
  34. 34.507049 ÷ 989 =
  35. 35.64314 ÷ 88 =
  36. 36.9409 ÷ 89 =
  37. 37.589750 ÷ 988 =
  38. 38.46186 ÷ 88 =
  39. 39.6614 ÷ 8 =
  40. 40.59644 ÷ 97 =

Answer key

  1. 159 rem 440
  2. 268 rem 54
  3. 185 rem 449
  4. 670 rem 39
  5. 32 rem 347
  6. 462 rem 683
  7. 222 rem 101
  8. 25 rem 7
  9. 535 rem 769
  10. 451 rem 14
  11. 946 rem 10
  12. 482 rem 308
  13. 303 rem 962
  14. 227 rem 77
  15. 39 rem 265
  16. 700 rem 54
  17. 108 rem 703
  18. 616 rem 380
  19. 575 rem 12
  20. 350 rem 399
  21. 305 rem 587
  22. 196 rem 44
  23. 39 rem 249
  24. 980 rem 69
  25. 614 rem 3
  26. 205 rem 87
  27. 994 rem 599
  28. 730 rem 515
  29. 954 rem 81
  30. 41 rem 986
  31. 557 rem 3
  32. 1006 rem 0
  33. 990 rem 833
  34. 512 rem 681
  35. 730 rem 74
  36. 105 rem 64
  37. 596 rem 902
  38. 524 rem 74
  39. 826 rem 6
  40. 614 rem 86

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