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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 610 · 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. 1.47103 ÷ 97 =
  2. 2.39127 ÷ 97 =
  3. 3.20136 ÷ 98 =
  4. 4.80096 ÷ 89 =
  5. 5.58539 ÷ 97 =
  6. 6.41750 ÷ 98 =
  7. 7.60376 ÷ 88 =
  8. 8.15670 ÷ 98 =
  9. 9.985469 ÷ 997 =
  10. 10.726026 ÷ 998 =
  11. 11.2322 ÷ 98 =
  12. 12.69847 ÷ 96 =
  13. 13.846026 ÷ 897 =
  14. 14.1133 ÷ 8 =
  15. 15.163135 ÷ 997 =
  16. 16.99846 ÷ 97 =
  17. 17.506983 ÷ 897 =
  18. 18.16196 ÷ 88 =
  19. 19.99353 ÷ 897 =
  20. 20.39421 ÷ 97 =
  21. 21.364274 ÷ 998 =
  22. 22.565290 ÷ 989 =
  23. 23.95772 ÷ 96 =
  24. 24.82421 ÷ 88 =
  25. 25.4072 ÷ 8 =
  26. 26.8970 ÷ 98 =
  27. 27.600564 ÷ 988 =
  28. 28.427776 ÷ 997 =
  29. 29.17533 ÷ 96 =
  30. 30.38047 ÷ 89 =
  31. 31.83137 ÷ 98 =
  32. 32.114272 ÷ 988 =
  33. 33.37671 ÷ 97 =
  34. 34.97119 ÷ 89 =
  35. 35.29081 ÷ 97 =
  36. 36.21586 ÷ 96 =
  37. 37.51048 ÷ 96 =
  38. 38.4483 ÷ 97 =
  39. 39.82561 ÷ 88 =
  40. 40.2326 ÷ 89 =

Answer key

  1. 485 rem 58
  2. 403 rem 36
  3. 205 rem 46
  4. 899 rem 85
  5. 603 rem 48
  6. 426 rem 2
  7. 686 rem 8
  8. 159 rem 88
  9. 988 rem 433
  10. 727 rem 480
  11. 23 rem 68
  12. 727 rem 55
  13. 943 rem 155
  14. 141 rem 5
  15. 163 rem 624
  16. 1029 rem 33
  17. 565 rem 178
  18. 184 rem 4
  19. 110 rem 683
  20. 406 rem 39
  21. 365 rem 4
  22. 571 rem 571
  23. 997 rem 60
  24. 936 rem 53
  25. 509 rem 0
  26. 91 rem 52
  27. 607 rem 848
  28. 429 rem 63
  29. 182 rem 61
  30. 427 rem 44
  31. 848 rem 33
  32. 115 rem 652
  33. 388 rem 35
  34. 1091 rem 20
  35. 299 rem 78
  36. 224 rem 82
  37. 531 rem 72
  38. 46 rem 21
  39. 938 rem 17
  40. 26 rem 12

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