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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 452 · 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. 1.20306 ÷ 97 =
  2. 2.23702 ÷ 88 =
  3. 3.29225 ÷ 98 =
  4. 4.69285 ÷ 89 =
  5. 5.55345 ÷ 97 =
  6. 6.313021 ÷ 998 =
  7. 7.12529 ÷ 96 =
  8. 8.447 ÷ 8 =
  9. 9.57351 ÷ 89 =
  10. 10.173837 ÷ 998 =
  11. 11.88236 ÷ 98 =
  12. 12.131827 ÷ 897 =
  13. 13.28174 ÷ 97 =
  14. 14.612864 ÷ 897 =
  15. 15.4230 ÷ 8 =
  16. 16.9103 ÷ 8 =
  17. 17.1267 ÷ 8 =
  18. 18.367824 ÷ 997 =
  19. 19.20725 ÷ 98 =
  20. 20.84005 ÷ 97 =
  21. 21.79141 ÷ 97 =
  22. 22.98884 ÷ 96 =
  23. 23.52749 ÷ 96 =
  24. 24.33570 ÷ 88 =
  25. 25.4208 ÷ 8 =
  26. 26.11971 ÷ 97 =
  27. 27.15332 ÷ 98 =
  28. 28.123188 ÷ 997 =
  29. 29.4148 ÷ 8 =
  30. 30.432135 ÷ 989 =
  31. 31.962742 ÷ 998 =
  32. 32.813735 ÷ 997 =
  33. 33.99654 ÷ 97 =
  34. 34.99386 ÷ 97 =
  35. 35.43251 ÷ 97 =
  36. 36.16772 ÷ 88 =
  37. 37.22808 ÷ 97 =
  38. 38.79942 ÷ 89 =
  39. 39.144310 ÷ 897 =
  40. 40.233886 ÷ 897 =

Answer key

  1. 209 rem 33
  2. 269 rem 30
  3. 298 rem 21
  4. 778 rem 43
  5. 570 rem 55
  6. 313 rem 647
  7. 130 rem 49
  8. 55 rem 7
  9. 644 rem 35
  10. 174 rem 185
  11. 900 rem 36
  12. 146 rem 865
  13. 290 rem 44
  14. 683 rem 213
  15. 528 rem 6
  16. 1137 rem 7
  17. 158 rem 3
  18. 368 rem 928
  19. 211 rem 47
  20. 866 rem 3
  21. 815 rem 86
  22. 1030 rem 4
  23. 549 rem 45
  24. 381 rem 42
  25. 526 rem 0
  26. 123 rem 40
  27. 156 rem 44
  28. 123 rem 557
  29. 518 rem 4
  30. 436 rem 931
  31. 964 rem 670
  32. 816 rem 183
  33. 1027 rem 35
  34. 1024 rem 58
  35. 445 rem 86
  36. 190 rem 52
  37. 235 rem 13
  38. 898 rem 20
  39. 160 rem 790
  40. 260 rem 666

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