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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 297 · 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. 1.919525 ÷ 897 =
  2. 2.367158 ÷ 988 =
  3. 3.4335 ÷ 8 =
  4. 4.702851 ÷ 897 =
  5. 5.17554 ÷ 96 =
  6. 6.428833 ÷ 897 =
  7. 7.50132 ÷ 96 =
  8. 8.81598 ÷ 98 =
  9. 9.8998 ÷ 8 =
  10. 10.779575 ÷ 989 =
  11. 11.765542 ÷ 997 =
  12. 12.53037 ÷ 96 =
  13. 13.74212 ÷ 89 =
  14. 14.752040 ÷ 897 =
  15. 15.449891 ÷ 897 =
  16. 16.67503 ÷ 89 =
  17. 17.7607 ÷ 8 =
  18. 18.640795 ÷ 989 =
  19. 19.82910 ÷ 96 =
  20. 20.58208 ÷ 97 =
  21. 21.80987 ÷ 97 =
  22. 22.60183 ÷ 88 =
  23. 23.50524 ÷ 89 =
  24. 24.612608 ÷ 998 =
  25. 25.8527 ÷ 98 =
  26. 26.90381 ÷ 96 =
  27. 27.9833 ÷ 89 =
  28. 28.32132 ÷ 998 =
  29. 29.45033 ÷ 897 =
  30. 30.2267 ÷ 8 =
  31. 31.75602 ÷ 98 =
  32. 32.307236 ÷ 897 =
  33. 33.682466 ÷ 988 =
  34. 34.104930 ÷ 988 =
  35. 35.93006 ÷ 89 =
  36. 36.2348 ÷ 8 =
  37. 37.3990 ÷ 88 =
  38. 38.91137 ÷ 89 =
  39. 39.223902 ÷ 989 =
  40. 40.18010 ÷ 88 =

Answer key

  1. 1025 rem 100
  2. 371 rem 610
  3. 541 rem 7
  4. 783 rem 500
  5. 182 rem 82
  6. 478 rem 67
  7. 522 rem 20
  8. 832 rem 62
  9. 1124 rem 6
  10. 788 rem 243
  11. 767 rem 843
  12. 552 rem 45
  13. 833 rem 75
  14. 838 rem 354
  15. 501 rem 494
  16. 758 rem 41
  17. 950 rem 7
  18. 647 rem 912
  19. 863 rem 62
  20. 600 rem 8
  21. 834 rem 89
  22. 683 rem 79
  23. 567 rem 61
  24. 613 rem 834
  25. 87 rem 1
  26. 941 rem 45
  27. 110 rem 43
  28. 32 rem 196
  29. 50 rem 183
  30. 283 rem 3
  31. 771 rem 44
  32. 342 rem 462
  33. 690 rem 746
  34. 106 rem 202
  35. 1045 rem 1
  36. 293 rem 4
  37. 45 rem 30
  38. 1024 rem 1
  39. 226 rem 388
  40. 204 rem 58

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