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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 865 · 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. 1.442549 ÷ 989 =
  2. 2.2999 ÷ 98 =
  3. 3.20541 ÷ 89 =
  4. 4.97448 ÷ 96 =
  5. 5.768565 ÷ 897 =
  6. 6.2206 ÷ 8 =
  7. 7.16603 ÷ 88 =
  8. 8.9171 ÷ 8 =
  9. 9.602256 ÷ 988 =
  10. 10.98022 ÷ 97 =
  11. 11.30211 ÷ 98 =
  12. 12.1902 ÷ 8 =
  13. 13.18721 ÷ 97 =
  14. 14.44674 ÷ 88 =
  15. 15.667948 ÷ 998 =
  16. 16.725849 ÷ 997 =
  17. 17.30636 ÷ 98 =
  18. 18.52050 ÷ 88 =
  19. 19.17500 ÷ 88 =
  20. 20.1075 ÷ 8 =
  21. 21.2575 ÷ 8 =
  22. 22.30006 ÷ 98 =
  23. 23.63450 ÷ 96 =
  24. 24.2911 ÷ 8 =
  25. 25.8327 ÷ 8 =
  26. 26.208657 ÷ 997 =
  27. 27.997840 ÷ 897 =
  28. 28.532248 ÷ 997 =
  29. 29.51994 ÷ 997 =
  30. 30.32764 ÷ 96 =
  31. 31.1169 ÷ 8 =
  32. 32.6502 ÷ 8 =
  33. 33.604425 ÷ 997 =
  34. 34.90325 ÷ 96 =
  35. 35.35438 ÷ 88 =
  36. 36.82835 ÷ 96 =
  37. 37.1673 ÷ 8 =
  38. 38.18027 ÷ 88 =
  39. 39.908164 ÷ 897 =
  40. 40.91061 ÷ 88 =

Answer key

  1. 447 rem 466
  2. 30 rem 59
  3. 230 rem 71
  4. 1015 rem 8
  5. 856 rem 733
  6. 275 rem 6
  7. 188 rem 59
  8. 1146 rem 3
  9. 609 rem 564
  10. 1010 rem 52
  11. 308 rem 27
  12. 237 rem 6
  13. 193 rem 0
  14. 507 rem 58
  15. 669 rem 286
  16. 728 rem 33
  17. 312 rem 60
  18. 591 rem 42
  19. 198 rem 76
  20. 134 rem 3
  21. 321 rem 7
  22. 306 rem 18
  23. 660 rem 90
  24. 363 rem 7
  25. 1040 rem 7
  26. 209 rem 284
  27. 1112 rem 376
  28. 533 rem 847
  29. 52 rem 150
  30. 341 rem 28
  31. 146 rem 1
  32. 812 rem 6
  33. 606 rem 243
  34. 940 rem 85
  35. 402 rem 62
  36. 862 rem 83
  37. 209 rem 1
  38. 204 rem 75
  39. 1012 rem 400
  40. 1034 rem 69

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