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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 728 · 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. 1.1312 ÷ 97 =
  2. 2.2562 ÷ 8 =
  3. 3.43188 ÷ 98 =
  4. 4.9937 ÷ 8 =
  5. 5.97177 ÷ 88 =
  6. 6.12987 ÷ 98 =
  7. 7.461733 ÷ 897 =
  8. 8.99211 ÷ 97 =
  9. 9.30898 ÷ 98 =
  10. 10.60712 ÷ 97 =
  11. 11.3942 ÷ 8 =
  12. 12.16395 ÷ 89 =
  13. 13.90609 ÷ 88 =
  14. 14.1056 ÷ 8 =
  15. 15.93725 ÷ 96 =
  16. 16.98515 ÷ 96 =
  17. 17.692058 ÷ 989 =
  18. 18.286539 ÷ 988 =
  19. 19.25982 ÷ 96 =
  20. 20.577157 ÷ 998 =
  21. 21.25307 ÷ 98 =
  22. 22.89075 ÷ 98 =
  23. 23.40308 ÷ 89 =
  24. 24.7393 ÷ 89 =
  25. 25.96215 ÷ 88 =
  26. 26.518940 ÷ 997 =
  27. 27.66932 ÷ 88 =
  28. 28.604595 ÷ 897 =
  29. 29.329473 ÷ 998 =
  30. 30.85804 ÷ 89 =
  31. 31.23458 ÷ 96 =
  32. 32.223914 ÷ 897 =
  33. 33.118987 ÷ 997 =
  34. 34.57917 ÷ 998 =
  35. 35.429902 ÷ 897 =
  36. 36.309 ÷ 8 =
  37. 37.26407 ÷ 97 =
  38. 38.253525 ÷ 998 =
  39. 39.34746 ÷ 897 =
  40. 40.94668 ÷ 89 =

Answer key

  1. 13 rem 51
  2. 320 rem 2
  3. 440 rem 68
  4. 1242 rem 1
  5. 1104 rem 25
  6. 132 rem 51
  7. 514 rem 675
  8. 1022 rem 77
  9. 315 rem 28
  10. 625 rem 87
  11. 492 rem 6
  12. 184 rem 19
  13. 1029 rem 57
  14. 132 rem 0
  15. 976 rem 29
  16. 1026 rem 19
  17. 699 rem 747
  18. 290 rem 19
  19. 270 rem 62
  20. 578 rem 313
  21. 258 rem 23
  22. 908 rem 91
  23. 452 rem 80
  24. 83 rem 6
  25. 1093 rem 31
  26. 520 rem 500
  27. 760 rem 52
  28. 674 rem 17
  29. 330 rem 133
  30. 964 rem 8
  31. 244 rem 34
  32. 249 rem 561
  33. 119 rem 344
  34. 58 rem 33
  35. 479 rem 239
  36. 38 rem 5
  37. 272 rem 23
  38. 254 rem 33
  39. 38 rem 660
  40. 1063 rem 61

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