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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 568 · 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. 1.65894 ÷ 89 =
  2. 2.8225 ÷ 8 =
  3. 3.270 ÷ 8 =
  4. 4.178914 ÷ 988 =
  5. 5.13053 ÷ 96 =
  6. 6.71497 ÷ 98 =
  7. 7.740797 ÷ 997 =
  8. 8.6842 ÷ 88 =
  9. 9.15521 ÷ 989 =
  10. 10.51741 ÷ 997 =
  11. 11.7863 ÷ 97 =
  12. 12.38058 ÷ 98 =
  13. 13.7201 ÷ 8 =
  14. 14.460220 ÷ 988 =
  15. 15.98315 ÷ 88 =
  16. 16.4319 ÷ 89 =
  17. 17.98587 ÷ 89 =
  18. 18.5020 ÷ 98 =
  19. 19.124389 ÷ 897 =
  20. 20.638331 ÷ 998 =
  21. 21.340183 ÷ 897 =
  22. 22.14408 ÷ 89 =
  23. 23.664865 ÷ 897 =
  24. 24.31955 ÷ 98 =
  25. 25.17383 ÷ 89 =
  26. 26.782 ÷ 8 =
  27. 27.137509 ÷ 998 =
  28. 28.80223 ÷ 989 =
  29. 29.634621 ÷ 897 =
  30. 30.313071 ÷ 997 =
  31. 31.6601 ÷ 96 =
  32. 32.691632 ÷ 997 =
  33. 33.30103 ÷ 88 =
  34. 34.661441 ÷ 997 =
  35. 35.470233 ÷ 989 =
  36. 36.327125 ÷ 997 =
  37. 37.99630 ÷ 98 =
  38. 38.5789 ÷ 8 =
  39. 39.412421 ÷ 989 =
  40. 40.411625 ÷ 998 =

Answer key

  1. 740 rem 34
  2. 1028 rem 1
  3. 33 rem 6
  4. 181 rem 86
  5. 135 rem 93
  6. 729 rem 55
  7. 743 rem 26
  8. 77 rem 66
  9. 15 rem 686
  10. 51 rem 894
  11. 81 rem 6
  12. 388 rem 34
  13. 900 rem 1
  14. 465 rem 800
  15. 1117 rem 19
  16. 48 rem 47
  17. 1107 rem 64
  18. 51 rem 22
  19. 138 rem 603
  20. 639 rem 609
  21. 379 rem 220
  22. 161 rem 79
  23. 741 rem 188
  24. 326 rem 7
  25. 195 rem 28
  26. 97 rem 6
  27. 137 rem 783
  28. 81 rem 114
  29. 707 rem 442
  30. 314 rem 13
  31. 68 rem 73
  32. 693 rem 711
  33. 342 rem 7
  34. 663 rem 430
  35. 475 rem 458
  36. 328 rem 109
  37. 1016 rem 62
  38. 723 rem 5
  39. 417 rem 8
  40. 412 rem 449

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