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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 565 · 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. 1.137311 ÷ 998 =
  2. 2.40189 ÷ 98 =
  3. 3.55437 ÷ 89 =
  4. 4.267398 ÷ 988 =
  5. 5.906385 ÷ 988 =
  6. 6.25521 ÷ 88 =
  7. 7.278312 ÷ 997 =
  8. 8.695 ÷ 8 =
  9. 9.67243 ÷ 97 =
  10. 10.90035 ÷ 97 =
  11. 11.97606 ÷ 89 =
  12. 12.429668 ÷ 989 =
  13. 13.34994 ÷ 97 =
  14. 14.968242 ÷ 989 =
  15. 15.584848 ÷ 988 =
  16. 16.867323 ÷ 997 =
  17. 17.1828 ÷ 8 =
  18. 18.2625 ÷ 8 =
  19. 19.4663 ÷ 8 =
  20. 20.370175 ÷ 998 =
  21. 21.97582 ÷ 96 =
  22. 22.55630 ÷ 88 =
  23. 23.996372 ÷ 997 =
  24. 24.811683 ÷ 897 =
  25. 25.7450 ÷ 8 =
  26. 26.694313 ÷ 989 =
  27. 27.86166 ÷ 98 =
  28. 28.12990 ÷ 98 =
  29. 29.291069 ÷ 988 =
  30. 30.90616 ÷ 96 =
  31. 31.684739 ÷ 989 =
  32. 32.62078 ÷ 96 =
  33. 33.22035 ÷ 897 =
  34. 34.11961 ÷ 97 =
  35. 35.54553 ÷ 98 =
  36. 36.534979 ÷ 998 =
  37. 37.98814 ÷ 97 =
  38. 38.14388 ÷ 97 =
  39. 39.694973 ÷ 988 =
  40. 40.40797 ÷ 96 =

Answer key

  1. 137 rem 585
  2. 410 rem 9
  3. 622 rem 79
  4. 270 rem 638
  5. 917 rem 389
  6. 290 rem 1
  7. 279 rem 149
  8. 86 rem 7
  9. 693 rem 22
  10. 928 rem 19
  11. 1096 rem 62
  12. 434 rem 442
  13. 360 rem 74
  14. 979 rem 11
  15. 591 rem 940
  16. 869 rem 930
  17. 228 rem 4
  18. 328 rem 1
  19. 582 rem 7
  20. 370 rem 915
  21. 1016 rem 46
  22. 632 rem 14
  23. 999 rem 369
  24. 904 rem 795
  25. 931 rem 2
  26. 702 rem 35
  27. 879 rem 24
  28. 132 rem 54
  29. 294 rem 597
  30. 943 rem 88
  31. 692 rem 351
  32. 646 rem 62
  33. 24 rem 507
  34. 123 rem 30
  35. 556 rem 65
  36. 536 rem 51
  37. 1018 rem 68
  38. 148 rem 32
  39. 703 rem 409
  40. 424 rem 93

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