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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 88 · 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. 1.133691 ÷ 989 =
  2. 2.9708 ÷ 8 =
  3. 3.5728 ÷ 8 =
  4. 4.71750 ÷ 89 =
  5. 5.9217 ÷ 8 =
  6. 6.176950 ÷ 997 =
  7. 7.181659 ÷ 988 =
  8. 8.243199 ÷ 997 =
  9. 9.136692 ÷ 997 =
  10. 10.177242 ÷ 997 =
  11. 11.5951 ÷ 88 =
  12. 12.72963 ÷ 88 =
  13. 13.19230 ÷ 98 =
  14. 14.76057 ÷ 97 =
  15. 15.988614 ÷ 988 =
  16. 16.472342 ÷ 897 =
  17. 17.33547 ÷ 97 =
  18. 18.1825 ÷ 98 =
  19. 19.5570 ÷ 8 =
  20. 20.80298 ÷ 96 =
  21. 21.582092 ÷ 989 =
  22. 22.725993 ÷ 989 =
  23. 23.16664 ÷ 97 =
  24. 24.27648 ÷ 97 =
  25. 25.589475 ÷ 997 =
  26. 26.56490 ÷ 89 =
  27. 27.469089 ÷ 989 =
  28. 28.422296 ÷ 988 =
  29. 29.61700 ÷ 89 =
  30. 30.582583 ÷ 897 =
  31. 31.117467 ÷ 998 =
  32. 32.720783 ÷ 897 =
  33. 33.39713 ÷ 897 =
  34. 34.145629 ÷ 989 =
  35. 35.705593 ÷ 989 =
  36. 36.65419 ÷ 89 =
  37. 37.28271 ÷ 98 =
  38. 38.57563 ÷ 88 =
  39. 39.7339 ÷ 96 =
  40. 40.510039 ÷ 897 =

Answer key

  1. 135 rem 176
  2. 1213 rem 4
  3. 716 rem 0
  4. 806 rem 16
  5. 1152 rem 1
  6. 177 rem 481
  7. 183 rem 855
  8. 243 rem 928
  9. 137 rem 103
  10. 177 rem 773
  11. 67 rem 55
  12. 829 rem 11
  13. 196 rem 22
  14. 784 rem 9
  15. 1000 rem 614
  16. 526 rem 520
  17. 345 rem 82
  18. 18 rem 61
  19. 696 rem 2
  20. 836 rem 42
  21. 588 rem 560
  22. 734 rem 67
  23. 171 rem 77
  24. 285 rem 3
  25. 591 rem 248
  26. 634 rem 64
  27. 474 rem 303
  28. 427 rem 420
  29. 693 rem 23
  30. 649 rem 430
  31. 117 rem 701
  32. 803 rem 492
  33. 44 rem 245
  34. 147 rem 246
  35. 713 rem 436
  36. 735 rem 4
  37. 288 rem 47
  38. 654 rem 11
  39. 76 rem 43
  40. 568 rem 543

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